AMMAN, Jordan — Jordan’s King Abdullah appealed Sunday to Vice President Mike Pence to ‘‘rebuild trust and confidence’’ in the possibility of a two-state solution to the Israeli-Palestinian conflict, ­after fallout from the Trump administration’s decision to recognize Jerusalem as Israel’s capital.

Pence tried to reassure the monarch that the United States is committed to restarting peace efforts and to a two-state solution, if both sides agree. Such a caveat deviates from long-standing US support for that approach as the only possible outcome of any peace deal.

Trump’s announcement on Jerusalem last month infuriated the Palestinians, who seek the Israeli-annexed eastern sector of the city as a future capital. They accused the United States of siding with Israel and said Washington can no longer serve as a mediator.

Jerusalem is the emotional centerpiece of the long-running conflict, and Trump’s ­policy shift set off protests and condemnation across Arab and Muslim countries.

It posed a dilemma for ­Abdullah, a staunch US ally who derives his political legitimacy in large part from the Hashemite dynasty’s role as guardian of a key Muslim site in Jerusalem.

Any perceived threat to Muslim claims in the city is seen as a challenge to Jordan, where a large segment of the population is of Palestinian ­origin.

Later, after meeting US troops near the Syrian border, Pence said he and Abdullah had ‘‘a very frank discussion.’’

Associated Press