Form N-CSRS
Pursuant to Rule 30b2-1 {17 CFR 270.30b2-1}


1.	Investment Company Act File Number:	811-09189

2.   	Exact name of investment company as specified in
registration statement: Zazove Convertible Securities Fund, Inc.

3.	Address of principal executive office:
	1001 Tahoe Blvd.
	Incline Village, NV 89451

4.	Name and Address of Agent for Service:
        Gregory Shorin
        1001 Tahoe Blvd.
        Incline Village, NV 89451

5. Registrant's telephone number:  775.298-7500

6. Date of fiscal year end:  December 31

7. Date of reporting period:  January 1, 2020 through
                              June 30, 2020


Item 1.  Report to Stockholders


Zazove Convertible Securities Fund, Inc.
Semi-Annual Report
June 30, 2019 (Unaudited)

ATTACHED

Item 2:	Code of Ethics
Information required by this Item is only required in an Annual
Report on this Form N-CSR.

Item 3:  Audit Committee Financial Expert
Information required by this Item is only required in an Annual
Report on this Form N-CSR.

Item 4:  Principal Accountant Fees and Services
Information required by this Item is only required in an Annual
Report on this Form N-CSR.

Item 5:  Audit Committee of Listed Registrants
Information required by this Item is only required in an Annual
Report on this Form N-CSR.

Item 6: Schedule of Investments.  This information is included in
the Report to Shareholders in Item 1.

Item 7:	Disclosure of Proxy Voting Policies and
Procedures for Closed-End Management Investment Companies.
Information required by this Item is only required in an Annual
Report on this Form N-CSR.

Item 8: Portfolio Managers of Closed-End Investment Companies.
Information required by this Item is only required in an Annual
Report on this Form N-CSR.

Item 9: Purchases of Equity Securities by Closed-End
Management Investment Company and Affiliated Purchasers.

Month Ending  Total No.   Avg. Price  Total No.    Maximum No.
              Shares      Paid Per    Of Shares    (or approximate
              Purchased   Shares      Purchased    value) of shares
                                      As Part of   that May Yet Be
                                      Publicly     Purchased Under
                                      Announced    the Plans or
                                      Plans or     Programs
                                      Programs

January        -0-                     *             *

February       -0-

March        74,746        $14.82      *             *

April          -0-

May            -0-

June          10,004       $18.40       *             *

*  On a quarterly basis, it is a basic policy of the Fund
to offer to repurchase no less than 5% and no more than
25% of the Fund's outstanding shares at the then net asset
value per share.  Notice of the terms and conditions of each
quarterly repurchase offer are sent to the shareholders in
advance of the offer.  The Fund may impose a 2% fee on the
redemption of fund shares held for less than one year.
This fee is intended to compensate the Fund for expenses
related to such redemption.  Shares are redeemed by treating
the shares first acquired by a shareholder as being redeemed
prior to shares acquired by such shareholders thereafter.
There were no redemption fees imposed during the period.  It
is a basic policy of the Fund to offer on a quarterly basis to
repurchase no less than 5% and no more than 25% of the Fund's
outstanding shares at the then net asset value per share.
A Shareholder who desires to have Shares redeemed at the
close of a calendar quarter must submit a written request
by the 17th day of March, June, September or December,
as applicable (or the next business day if such day is
not a business day).  Each such day is referred to as a
"Repurchase Request Deadline." The Fund will send a notice
to each Shareholder no less than twenty-one and no more than
forty-two days before each Repurchase Request Deadline with
the details regarding the repurchase offer.  If the number
of Shares requested by the Shareholders for repurchase
exceeds the number of Shares in the repurchase offer, then
the Fund may repurchase an additional two percent of the
outstanding Shares.  If there is still an excess, the Fund
will repurchase Shares on a pro rata basis.  The Fund has
adopted written procedures reasonably designed to ensure
that the Fund's portfolio is sufficiently liquid to enable
the Fund to fulfill the repurchase requests.  The Fund has
the right, under certain circumstances, to force the
redemption of all or a portion of the Shares held by a
Shareholder.  The Fund may impose a 2% fee on the repurchase
of Shares held for less than one year, which fee is intended
to compensate the Fund for expenses related to such redemption.
Shares are deemed repurchased by treating the Shares first
acquired by a Shareholder as being repurchased prior to Shares
acquired by such Shareholder thereafter.


Item 10:  Submission of Matters to a Vote of Security Holders.
No material change.

Item 11: Controls and Procedures
a) Registrant's principal executive officer and principal
financial officer have evaluated Registrant's disclosure
controls and Procedures within 90 days of this filing and
have concluded that Registrant's disclosure controls and
procedures (as defined in Rule 30a-2(c)) were effective
as of that date, in ensuring that the information required
to be disclosed by Registrant in this Form N-CSR was recorded,
processed, summarized and reported on a timely basis.
Registrant's principal executive officer and principal
financial officer concluded that such procedures did not have
any significant deficiencies or material weaknesses that
require corrective action.

b)  There were no changes in Registrant's internal control
over financial reporting (as defined in Rule 30a-3(d) under
the Investment Company Act of 1940) that occurred during
Registrant's second fiscal quarter of the period covered
by this report that has materially affected, or is reasonably
likely to materially affect, Registrant's internal control
over financial reporting.

Item 12:  Disclosure of Securities Lending Activities
Registrant did not engage in any securities lending for the period.

Item 13:  Exhibits
(a)(1) Not applicable.

(a)(2) The certification required by Rule 30a-2(a)
under the Act (17 CFR 270.30a-2(a)) of each principal
executive officer of Registrant is attached.

(a)(3) Not applicable.

(b) No applicable.