Colombia’s government has reached a new agreement with Marxist guerrillas to end the nation’s civil conflict, six weeks after voters unexpectedly rejected a previous deal.

Under terms of the modified accord, the Revolutionary Armed Forces of Colombia, or FARC, will compensate victims of the conflict using their own assets, and won’t be able to take any of the special “transitory” seats in Congress while the deal is being implemented, President Juan Manuel Santos said Saturday in a national address.

The FARC will still be allowed to form a legal political party and run for Congress, he said. Santos didn’t say whether the deal will be put to a second plebiscite.

The deal aims to address some of the objections of opponents of the original agreement. The government has held weeks of talks with leaders of the “no” campaign, including former President Alvaro Uribe, who attacked the agreement as too lenient on a group that kidnapped and murdered Colombians.

“We hope this work satisfies those from the ‘no’ campaign and the nation,” Santos said. “We hope peace allows us to unite as a nation, and seize with both hands the opportunities that tranquility, security and unity bring.”

The agreement clarifies the conditions under which FARC leaders would be deprived of their liberty, the government’s chief negotiator Humberto de la Calle said in Havana, where the peace talks took place. The pact also makes clear its respect for the right to private property, and will be fiscally sustainable, he said.

Senator Armando Benedetti, a member of Santos’s ‘U’ Party, said in posts on Twitter that under the agreement, FARC leaders will be confined to areas no bigger than a hamlet, monitored by the U.N. Uribe had said the original texts gave leaders effective impunity.

Uribe met with Santos earlier Saturday and afterward told reporters in an air base in western Colombia that he asked that the new agreement “not be definitive,” adding that he and other opposition leaders want to review the text, which is still not public.

Uribe has called for tougher penalties for FARC leaders guilty of serious crimes.

Legally, Santos doesn’t need to call a second plebiscite in order to implement the pact.