The Reagan administration, under intense pressure to revive the Middle East peace process after six weeks of violence in the occupied West Bank and Gaza Strip, is considering new ways to promote an Arab-proposed international peace conference or local autonomy talks favored by Israeli Prime Minister Yitzhak Shamir.

Arab and Israeli proponents of the two approaches arrived here yesterday to seek support for their positions, and a senior U.S. official said President Reagan and Secretary of State George P. Shultz are committed "to leave no stone unturned" to find a way to reinvigorate the long-stalled peace process.

Egyptian President Hosni Mubarak, making his first official visit since September 1985, had told The Washington Post last Friday that he would discuss with Reagan and other high-level officials his proposal for "a new peace initiative." He is to meet with Reagan Thursday.

Mubarak called for a six-month halt to violence in the Israeli-occupied territories, a moratorium on new Jewish settlements there and direct Arab-Israeli negotiations in an international peace conference.

Meanwhile, a top Shamir aide, Cabinet secretary Eliakim Rubinstein, met with Shultz's executive assistant, Charles Hill, and other U.S. officials. He urged the administration to back direct negotiations between Israel and Palestinian leaders in the occupied territories to promote local autonomy, as envisaged by the 1978 Camp David accords.

The State Department also announced that Shultz plans to meet here today with Hanna Siniora and Said Abu Rahmeh, Palestinian leaders from the occupied territories. Siniora is editor of East Jerusalem-based al Fajr newspaper, and Rahmeh is a lawyer.

Israeli authorities blocked Siniora from leaving Israel last week but then yielded to U.S. pressure to allow him to travel here.

The two Palestinians were mentioned in 1986 as possible members of a joint Jordanian-Palestinian delegation to a peace conference under the auspices of the five permanent U.N. Security Council members.

At the time, the two were reported acceptable to Israel and the Palestine Liberation Organization, with which all Israeli leaders have refused to negotiate.

A senior U.S. official briefing reporters on Mubarak's four-day visit said the administration is rethinking "very carefully" what it could do to improve the Mideast situation.

The administration is under considerable pressure from its Arab allies, Israeli Labor Party leaders and many American Jewish groups to end its inactivity and do something to revive the peace process to lessen tension in the occupied territories.

Shultz is known to be extremely reluctant to become involved again after he failed last October to persuade a sharply divided Israeli government to accept an international conference as an umbrella for direct negotiations.

Israeli Foreign Minister Shimon Peres supports the plan, but Shamir is vigorously against it.

The senior U.S. official said the administration has been examining "all of our past efforts" to revive the peace process.

"Just what the possibilities of pursuing it in the present environment are is a little hard to say," the official said. "But the intention of the president, the intention of the secretary is to leave no stone unturned."

The official described Egypt as ready to become "a key player" in the process since 10 Arab nations recently decided to restore diplomatic ties with Cairo after eight years. All but three Arab governments severed relations in 1979 to protest Egypt's peace treaty with Israel.

"We think Egypt is formally poised to play that role in the peace process," the official said. "It has a policy . . . and a diplomacy which is very broad-ranging and very competent."

The official said the administration has received no further details of Mubarak's proposed initiative beyond what he told The Post. Mubarak aides have told U.S. officials that the five points he put forward did not constitute a formal peace "plan" but simply "ideas" that he wants to discuss with Reagan.

The official said the administration particularly welcomes Mubarak's call for a six-month moratorium on violence in the occupied territories.

"Until violence is brought to an end, people are not going to be in a state of mind to think ahead to what political solutions may be possible," he said.