The General People's Congress said it had not yet received a formal invitation from the United Nations but the UN envoy met with party representatives in the rebel-held capital late last month as part of his efforts to convene the talks in Geneva.
Saleh himself is under UN sanctions for his support for the rebels and did not take part in the meetings, party sources said.
The party "welcomes holding the Geneva conference for consultations between Yemeni political components without any preconditions from any group, with good will and under the patronage of the United Nations," its almotamar.Net website said.
He himself proposed Geneva as the venue for the talks as a compromise between rebel-held Sanaa and the Saudi capital Riyadh, where exiled President Abedrabbo Mansour Hadi is based.
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His loyalists have been repeatedly targeted along with the rebels in a Saudi-led bombing campaign launched in support of Hadi on March 26.
The peace talks are due to open in Geneva on Sunday. They had initially been scheduled for May 28 but were postponed after Hadi demanded the rebels first withdraw from seized territory.
But the exiled president set new conditions in an interview broadcast on Monday, insisting the sole item for discussion would be implementation of a UN resolution demanding the rebels withdraw.
"There will be no negotiations," Hadi told Al-Arabiya television.