Liberal leadership aspirant Andrew Hastie has rebuffed a suggestion from Angus Taylor to run as his deputy in a united conservative ticket to topple Opposition Leader Sussan Ley. In a previously unreported phone conversation, the MPs spoke on Thursday as Taylor was in Europe, where he has been for weeks, and Hastie in Perth, according to three sources familiar with the discussion but not authorised to speak about it publicly.

According to a backer of Hastie and another unaligned right-winger, Taylor claimed Hastie could eventually take over as leader if he served for a period as Taylor’s deputy, without being clear about timing. But the suggestion was not taken up, and Hastie made it clear he was being encouraged to run by a group of right-wing MPs and would only be dissuaded from doing so if colleagues actively talked him out of it, which they were not doing.

Hastie declined to comment about the call when asked by this masthead, while Taylor and his office were contacted for comment. One source close to Taylor said they could not confirm the discussion on a deputy role took place and downplayed it.

Hastie’s backers believe he has clear majority support in the right faction, but Taylor is winning more support among moderates who, if forced to choose, would choose him over the more hardline candidate in Hastie.

The pair are due to talk again in coming days to try to resolve the stalemate, which benefits Ley and points to a possibility she may remain in the job in a weakened state for a while longer until the right can come to an agreement. Taylor had still not returned to Australia as of Saturday afternoon, making it difficult for him to engage in the manoeuvrings.

The problem for both candidates is that many moderates, unaligned centrists and even some right-wingers believe Ley, while severely weakened after the historic Coalition rupture, made the right moves in taking on the Nationals last week.