The request from French President Jacques Chirac came a week after Colombia protested to France over unauthorized talks between French representatives and the Revolutionary Armed Forces of Colombia, or FARC.
"We want to continue acting, in coordination with the Colombian government," said French emissary Nicole Guedy in Bogota.
Betancourt, 43, was taken hostage by the FARC after ignoring military warnings and taking her campaign for a small left-wing party to a dangerous part of southern Colombia in February 2002.
She is now one of 63 hostages the FARC want to swap for guerrillas held in government jails. Other prisoners include politicians, soldiers, police officers and three Americans -- civilian U.S. Defense Department contractors captured when their light plane crashed on a mission to find drug crops in 2003.