ALBANY — With major issues unresolved, state lawmakers agreed on Thursday to briefly — and retroactively — extend rent regulations and planned to continue working into next week, prolonging a session that has already gone past its planned expiration date.

Late in the day, Gov. Andrew M. Cuomo and legislative leaders said they would extend the regulations, which expired this week and cover about one million apartments in New York City, by five days, through Tuesday night. Talks on a permanent solution continued.

Before the rent rule extension was announced, what had been the major announcement of the day, an agreement to overhaul the Port Authority of New York and New Jersey, came with a sizable caveat: Because the authority is governed by New York and New Jersey, approval is needed by the legislatures of both states to make changes in its structure and operations.

The bill was expected to pass both houses of the New York Legislature, but it still needs approval in New Jersey. And it was far from certain that Democrats in New Jersey, who control both houses of that Legislature, were in agreement with their New York counterparts about the bill. It includes stricter ethics and financial disclosure rules; a new executive structure; and rules to enhance transparency at the Port Authority, the much maligned agency whose reputation was further tarnished by a scandal involving lane closings at the George Washington Bridge in 2013.