Talks between the Yemeni government and Houthis brokered by the United Nations have been held in Kuwait since April 21 but have brought no results so far.
"We confirm our adherence to the agreements struck during the first round of talks with the UN special envoy and to the deadline for the next round of talks in Kuwait without preliminary conditions for reaching full-scale decisions," Abdul Salam was quoted as saying by the Kuwaiti newspaper Al Rai.
On Saturday, Yemeni President Abd Rabbuh Mansur Hadi said the government's delegation might not return to the peace talks slated for July 15 if participation were made conditional to adopting a UN initiative on the establishment of a joint interim government with all the parties to the conflict.
Yemen has been engulfed in a military conflict between the government headed by Hadi and the Houthis since 2014. The Houthis are backed by army units loyal to former Yemeni President Ali Abdullah Saleh.