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.