Veterans' Compensation Amendments of 1986 - Title I: Rate Increases - Increases the rates of veterans' disability compensation, additional compensation for dependents, and the clothing allowance for certain disabled veterans. Increases the rates of dependency and indemnity compensation for surviving spouses and for children, as well as the rates of supplemental dependency and indemnity compensation for children. Title II: Other Veterans' Program Improvements - Amends veterans' benefits provisions to provide that any overpayment made to a veteran in military retirement pay or payments owed by a veteran for annuity coverage shall be collected from compensation or pension benefits payable to such veteran. Amends veterans' fiduciaries provisions to authorize the Administrator of Veterans Affairs to require the fiduciary to disclose any financial information concerning the veteran beneficiary that is within such fiduciary's knowledge.