A Yemeni lawmaker, Abdul-Karim Jadban, urged on Saturday the Saada-based Houthi group to participate in the dialogue conference only if the government apologized for "wars launched against the group".
He demanded to deal with the Houhis "in the same way that the southerners are dealt by the government".
Positions of the Houthi group regarding the participation in the national dialogue to be held in September swing from acceptance to refusal. They have no a firm position.
The former Yemeni regime headed by Ali Abdullah Saleh engaged in six war with the Houthi group, with Saudi Arabia involved in the last round of the fighting, ending in February 2010.
However, Yemeni analysts and politicians claim that Saleh, who was forced to step down after a year of popular protests, cooperates and coordinates with the group to impede the interim government and raise turmoil.
The group that currently controls on Saada and some parts of other governorates tries to take control on some areas of Hajja and Amran.
Media outlets occasionally reported that Saleh met with representatives of the Houthi group and that one of his family met with the Iranian ambassador to review joint cooperation, indicating that fighters of the Houthi group were brought to military camps led by Saleh's son, Ahmed, to be trained there.
The Saada-based Al-Houthi group frequently arranges protests in which it demands to end US interventions in Yemen's affairs, accusing the United states of violating Yemen's sovereignty and killing Yemenis.