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        Chapman and Cutler LLP

320 South Canal Street, 27th Floor

Chicago, Illinois 60606

T 312.845.3000

F 312.701.2361

www.chapman.com

February 8, 2023

Mark Cowan

U.S. Securities and Exchange Commission

Division of Investment Management

Disclosure Review Office

100 F Street, N.E.

Washington, D.C. 20549

    Re:
    FT 10583

    Cboe Vest Large Cap Deep Buffered 100 Portfolio

    (the “Trust”)

    CIK No. 1956195 File No. 333-269054

Dear Mr. Cowan:

We received your comments
regarding the Registration Statement for the above captioned Trust. This letter serves to respond to your comments.

Comments

Front Cover

1.Please
explain to the Staff how the Trust is able to provide a 100% buffer. Additionally, what is the proposed cap for the Trust?

Response:The
Trust will (1) purchase in-the-money call options with a $0.01 strike price, (2) purchase at-the-money put options and (3) write out-of-the-money
call options on the Underlying ETF. The in-the-money purchased call option with a low strike price will provide exposure to the Underlying
ETF and the at-the-money purchased put option will provide 100% downside buffer protection on the Underlying ETF, while the out-of-the-money
written call option will generate the Cap. The Cap as of January 27, 2023, was approximately 10.40% (before fees and expenses), and is
subject to change on the Initial Date of Deposit under different market environments (e.g., volatility, interest rates, etc.). However,
the Cap will not change for the life of the Trust once deposited.

2.The
Staff notes that First Trust ETFs show the cap and buffer before and after fees and expenses on the front cover. The Staff believes the
Trust should just have two “after lines,” one showing all fees and expenses for traditional brokerage accounts and one for
wrap accounts. This disclosure would be consistent with the Trust’s disclosure on page 3. Additionally, the front cover should show
the buffer net of fees and expenses.

Response:The
disclosure on the front cover has been revised as follows:

“The Trust is designed to participate
in positive price returns of the SPDR(R) S&P 500(R) ETF Trust (“SPY” or the “Underlying ETF”) up to a cap
of ____% (before applicable sales charges and organization costs), ____% (after sales charges and organization costs for Units purchased
through a traditional brokerage account) and ____% (after sales charges and organization costs for Units purchased through a “wrap
fee” account), while seeking to provide a buffer against 100% of Underlying ETF losses (before applicable sales charges and organization
costs), ____% (after sales charges and organization costs for Units purchased through a traditional brokerage account) and ____% (after
sales charges and organization costs for Units purchased through a “wrap fee” account) (“Outcomes”) over the period
from the Trust’s inception (February __, 2023) until the Trust’s termination date (May 14, 2024) (the “Outcome Period”).”

3.Please
consider ordering the “Portfolio” section and “Risk Factors” section next to each other, which is the format used
for all other First Trust UITs.

Response:The Trust has moved
the “Portfolio” section after the “The FT Series” section to better align with other First Trust UITs.

Portfolio

4.The
Staff notes the Trust’s objective states, “The Trust seeks to provide returns based on the price performance of shares of
the Underlying ETF, subject to a capped amount.” Please revise this sentence to state the return is before fees and expenses and
that the returns “match” the price performance of shares of the Underlying ETF.

Additionally, please add the
following statement to the Trust’s objective: “…while seeking to provide a buffer (before fees and expenses) against
100% of Underlying ETF losses during the period from _______ to _______.”

Response:In accordance with
the Staff’s comment, the Trust’s objective has been revised as follows:

“The Trust seeks to provide returns (before
applicable sales charges and organization costs) that match the price return of the Underlying ETF up to a predetermined upside cap of
____% while providing a buffer (before applicable sales charges and organization costs) against 100% of Underlying ETF losses during the
period from February 14, 2023 to May 14, 2024.”

5.Please
consider adding disclosure explaining the significance of a “Deep Buffer” as indicated in the Trust’s name (i.e., that
the buffer is considered a “Deep Buffer” because, unlike buffers that limit losses up to a certain percentage (e.g., the first
20%), it covers 100% of losses tied to the price performance of shares of the Underlying ETF).

Response:The Trust believes
the disclosure throughout the prospectus adequately and prominently explains the 100% buffer, and therefore, additional disclosure explaining
the deep buffer is not necessary.

6.The
Staff notes the disclosure states, “The FLEX Options are intended to generate returns based on the price performance of the Underlying
ETF.” Please change “based on” to “that match.”

Response:The Trust notes that
while the objective of the Trust taken as a whole is to match the price performance of the Underlying ETF while providing a buffer against
losses, the referenced disclosure refers to the individual FLEX Options, not all of which serve to match the price performance of the
Underlying ETF (e.g., the at-the-money purchased put option serves to provide the buffer). Therefore, the Trust believes the disclosure,
as currently presented, is accurate for investor comprehension.

7.The
Staff notes the disclosure states, “The Trust is designed for Unit holders who intend to purchase Units at the Trust’s inception
and hold them until May 14, 2024…” Please make clear that Unit holders may not purchase units after the inception date. Please
also make sure this point is made clear throughout the disclosure.

Response:The Trust has revised
the above-referenced disclosure as follows:

“The Trust is designed for Unit holders
who intend to purchase Units at the Trust’s inception, the only day Units are available for sale, and hold them until May 14, 2024.”

8.Please
make sure the disclosure in the “Portfolio” section shows the cap and buffer amounts before and after fees and expenses, as
the Staff suggested for the front cover of the prospectus. If the Trust wants to show a separate presentation for wrap and brokerage accounts,
the Trust should follow the format the Staff suggested for the front cover.

Response:The disclosure has
been revised in accordance with the Staff’s comment and matches the format of the disclosure referenced in the Trust’s response
to Comment 2 above.

9.The
Staff notes the disclosure states, “…while also providing downside “buffered” protection of up to 100% of net
asset value of the decline in the Underlying ETF…” Why is the buffered protection tied to net asset value rather than just
a decline? Is there a difference? The Staff notes that the disclosure states net asset value, while other disclosure states a decline
or loss. Please revise for consistency. Additionally, if 100% of the net asset value of the decline means something other than a 100%
decline, that needs to be made clear in the disclosure so Unit holders know 100% is not really 100%.

Response:The Trust has removed
“of net asset value” from the above-referenced disclosure.

10.Unlike
other First Trust UIT buffer products (e.g., the 20% buffer in FT 9630), the buffer here is unknown until the end of the period. Therefore,
consider replacing the disclosure by stating, if true, that even though the Trust provides 100% protection against negative performance
of the ETF, a Unit holder’s loss will be equal to sales charges and organization costs of __% for traditional brokerage accounts
and __% for wrap accounts.

The Staff notes there was confusion
as to why a line regarding total return in addition to covering the cap and buffer is included. The Staff was not following what this
is supposed to show in addition to what is already disclosed. The Staff assumes that total return is intended to show what a Unit holder
gets after application of caps and buffers after each example. If that is the case, the disclosure should make that clear.

Response:The Trust notes that
the buffer is similar to other First Trust UIT buffered products and is known throughout the life of the Trust, as the buffer always offers
100% downside protection regardless of the decline in the Underlying ETF. The reference to total return has been removed. Please refer
to the Trust’s response to Comment 11 below. To better clarify the disclosure, the Trust has also revised the disclosure to include
the following:

“The Buffered Protection of up to 100%
of Underlying ETF losses is taken into account before applicable sales charges and organization costs, meaning a Unit holder’s maximum
loss will be equal to ___% for Units purchased through a traditional brokerage account and ___% for Units purchased through a “wrap
fee” account.”

11.The
Staff notes the disclosure states, “The maximum annualized total return is…” Returns should be based on the 15-month
term of the Trust and not annualized. Please revise throughout.

Response:The above-referenced
disclosure has been removed from the prospectus.

12.The
Staff notes the disclosure refers to “partial downside protection.” Please remove “partial” since the Trust provides
a 100% buffer.

Response:The disclosure has
been revised in accordance with the Staff’s comment.

13.The
Staff notes the disclosure states, “For Units purchased through a “wrap fee” account not subject to the Trust’s
initial sales charge, the capped upside and partial downside protection will be reduced by the amount of the Trust’s creation and
development fee and organization costs, equal to ____%.” If the creation and development fee is included in costs of the Trust,
please add this concept throughout the prospectus.

Response:The above-referenced
disclosure has been revised in accordance with the Staff’s comment. Please refer to the Trust’s response to Comment 10 above.

14.The
Staff notes the disclosure states, “The price at which you will be able to purchase Units will be based on their valuation at the
Evaluation Time on the date you purchase your Units, which will be higher than $10 per Unit because of the Trust’s sales charges,
which will impact your potential returns and therefore your return will be less than the Capped Return.” Is it true that the price
at which Unit holders purchase will be higher than $10 per Unit? Isn’t it higher or lower based on market price? It would seem this
sentence is intended to cover purchases after the Initial Date of Deposit, which the Staff understands is not the case. As previously
noted, please clarify and make clear that Unit holders are only able to purchase on day one.

Response:In accordance with
the Staff’s comment, the disclosure has been revised as follows:

“The price at which you will be able to
purchase Units will be based on their valuation at the Evaluation Time on the Initial Date of Deposit, which will be higher than $10 per
Unit (the Trust’s net asset value per Unit on the Initial Date of Deposit) because of the Trust’s sales charges and organization
costs, which will impact your potential returns and therefore your return will be less than the Capped Return.”

15.Under
the first two “Illustrative Market Scenario,” please change the intro to “The price of the Underlying ETF increases
above a Capped Return of ___%” and “The price of the Underlying ETF increases between 0% and a Capped Return of ___%,”
respectively.

Response:The disclosure has
been revised in accordance with the Staff’s comment.

16.For
each “Illustrative Market Scenario,” please also state what the percentage will be after sales charges and organization costs.

Response:The disclosure has
been revised in accordance with the Staff’s comment.

17.For
the last “Illustrative Market Scenario,” wouldn’t the Trust provide Unit holders with a “buffered” total
return of the Unit holder’s original principal, rather than 0%?

Response:The Trust notes that
a total return of 0% is equivalent to a return of original principal and therefore believes that the disclosure, as currently presented,
is appropriate for investor comprehension. The Trust has revised the disclosure to state what the maximum loss would be after taking into
account sales charges and organization costs.

18.The
Staff notes the “Hypothetical Performance Return Chart” states that, “This chart does not take into account payment
by the Trust of applicable sales changes and organization costs…” Doesn’t the Unit holder pay these costs? If so, please
delete this language.

Response:In accordance with
the Staff’s comment, “the Trust” has been replaced with “Unit holders.”

19.To
avoid confusion, consider moving “Underlying ETF value for “Buffered” return” and “Underlying ETF value
for “Capped” return” to a column of the “Hypothetical Performance Return Chart.”

Response:The disclosure has
been revised in accordance with the Staff’s comment.

20.The
Staff notes the disclosure states, “The ATM Purchased Put Options are intended to provide a buffer against approximately 100% of
Underlying ETF losses based on the decrease between the Initial Underlying ETF Level and the price of the Underlying ETF on the FLEX Option
Expiration Date.” Earlier disclosure does not include the caveat “approximately” when describing the buffer against
100% of Underlying ETF losses. Please reconcile.

Response:The Trust confirms
the term “approximately” was removed from the above-referenced disclosure.

21.Please update the description
of the Underlying ETF’s principal investment Strategies with information from the Underlying ETF’s most recent prospectus.

Response:The disclosure has
been revised in accordance with the Staff’s comment.

Hypothetical Examples

22.Please
provide the Staff with examples of actual numbers in the “Hypothetical Examples” section to help us better understand the
disclosure.

Response:Pursuant to the Staff’s
request, examples of actual numbers for the “Hypothetical Examples” section for the Trust, as of February 8, 2023, has been
set forth in Exhibit A to this response. The Trust notes these are example numbers and will likely change on the Initial Date of Deposit.

23.The
Staff notes the disclosure states, “Because of the Buffered Protection feature, the Unit holder’s loss would be less than
the price return (not including returns from dividends) from a direct investment in the Underlying ETF.” The way the buffer works,
Unit holders should not have a “loss” before accounting for expenses. Instead, consider revising to make clear that a Unit
holder’s return would be better than the price return of the ETF because of the buffer. Please make the disclosure edits consistent
throughout each example.

Response:In accordance with
the Staff’s comment, the disclosure has been revised as follows:

“Because of the Buffered Protection feature,
the Unit holder’s return would be better than the price return (not including returns from dividends) from a direct investment in
the Underlying ETF.”

Risk Factors

24.Please
explain to the Staff why the “Small and/or Mid Capitalization Companies” risk factor is necessary given the Underlying ETF
fully replicates the S&P 500 Index, which consists of only large capitalization companies.

Response:The Trust confirms
the “Small and/or Mid Capitalization Companies” risk factor has been removed.

25.Please
confirm the accuracy of the “Large Capitalization Companies” risk factor which states “Certain of the securities held
by SPY are large capitalization companies.”

Response:The first sentence
of the “Large Capitalization Companies” risk has been revised as follows:

“The securities held by SPY are large
capitalization companies.”

26.The
Staff notes the “Buffered Loss Risk” states that, “A shareholder may lose their entire investment.” Please co