Negotiators for Colombia’s government and largest rebel movement say they’re taking steps to guarantee a cease-fire doesn’t unravel while the two sides work together to save a peace accord defeated in a referendum.

At a joint press conference in Havana the two sides read a joint statement in which they pledged to listen to those who voted against the peace deal to “define quickly” a solution to the impasse in accordance with a recent constitutional court ruling.

The statement says: “The proposed adjustments and precisions that come about from this process will be discussed between the government and the FARC to provide guarantees to everyone.”

The two sides invited the United Nations to begin monitoring a cease-fire already in place along the terms established in the accord so that rebel fighters aren’t at risk.