Secretary of State George P. Shultz and Soviet Foreign Minister Eduard Shevardnadze are expected to meet in September when Shevardnadze attends the U.N. General Assembly session in New York, officials said.

Shultz met yesterday with Soviet Ambassador Yuri Dubinin to discuss prospects for the talks, according to official sources. Dubinin requested the State Department meeting.

A State Department official said that while Shultz and Shevardnadze are expected to meet in September, no firm date had been set.

Shultz had invited Shevardnadze to come here this month, primarily to break remaining deadlocks on a Euromissiles treaty. The Soviets declined to meet, but last Wednesday Soviet leader Mikhail Gorbachev advanced the prospects for a U.S.-Soviet arms control treaty by agreeing to eliminate all short-range and medium-range missiles, including 100 medium-range warheads deployed in Soviet Asia.

U.S. negotiators are scheduled in Geneva today to modify U.S. proposals concerning conversion of U.S. medium-range missiles in Europe to shorter-range missiles or missiles based on ships.

Responding to Soviet protests, the Reagan administration will agree to ban such conversion and also to comply with Soviet desires for a ban on future U.S. production of new medium-range and short-range missiles.

The administration also will try to meet Soviet concerns about the timing for dismantlement and destruction of existing missiles, and later this week will ease demands for intrusive measures to verify Soviet compliance.

A Shultz-Shevardnadze meeting would probably focus on the principal remaining dispute over 72 U.S. warheads for short-range missiles owned by West Germany.

The United States, acting at Germany's request, has refused a Soviet demand that the warheads be eliminated, and insisted on leaving open the possibility that the missiles could be modernized by U.S. firms acting under German contract.

U.S. sources indicated that Shevardnadze will travel from New York to Washington for discussions with President Reagan, Shultz and other senior U.S. officials at the time of the U.N. meeting.