JERUSALEM — Prime Minister Benjamin Netanyahu pressed the United States to recognize Israeli governance of most of the Golan Heights during a visit by Secretary of State Mike Pompeo on Wednesday. His efforts underscored the growing possibility that the Trump administration may change the American stance on the territory.

Mr. Netanyahu has pushed repeatedly for the United States to recognize Israeli sovereignty over the western Golan Heights, which Israel seized from Syria in the Six Day War of 1967 and later annexed.

There are recent signs that the Trump administration could be moving in Mr. Netanyahu’s direction. An annual human rights report released last Wednesday by the State Department used the phrase “Israeli-controlled” rather than “Israeli-occupied” to describe the Golan Heights, the West Bank and Gaza, counter to the tradition. The Trump administration has also pushed back against United Nations condemnations of Israel’s occupation.

Mr. Netanyahu will visit Mr. Trump next week, the White House announced on Wednesday, a trip that could offer the prime minister’s troubled re-election campaign a lift. Mr. Netanyahu also plans to speak at the annual conference of Aipac, the pro-Israel lobbying group.