The Office of the Former President in a statement said Karzai met with Abdullah on Sunday.
The statement further added that the two side discussed ongoing efforts aimed at supporting the process, including the further implementation of prisoners exchange, immediate launch of peace talks and implementation of peace agreement.
The U.S. and Taliban representatives signed a peace deal late in February this year with the release of prisoners being one of the key points for the launch of intra-Afghan talks.
Both the Afghan government and Taliban have so far released hundreds of prisoners to help the peace process.
However, there are concerns that the recent wave of violence led by Taliban could derail the ongoing peace efforts.