The long and convoluted history of the Jordan-Israel peace treaty, which was signed almost 28 years ago, has seen many ups and downs, but the leaders of both countries have always sought to give the fragile and frigid peace a new lease of life.

It has been an extraordinary week of regional summits and high-level meetings that spell out an evolving “new Middle East,” to borrow a term from the late Israeli Prime Minister Shimon Peres, and consider how bridges might be built to connect it to the old one.