Mr Pahor said he would invite Janez Jansa of the (SDS) to take the reins of power, although it remains unclear whether Jansa will be able to secure a majority in parliament.
After meeting Jansa, Pahor said he would give him the mandate after parliament convenes next week on June 22 or 23.
However Jansa will have to work behind the scenes to formulate a governing coalition.
He said: “We want a coalition which will work for Slovenia and will not focus on marginal issues.”
His party won a June 3 election, taking 25 out of parliament’s 90 seats, on pledges to abolish migrant quotas, strengthen the security forces, cut taxes and speed up privatisations.
But most other parties have said they would not go into coalition with the anti-immigrant SDS.
Jansa said he would be willing to leave the post of prime minister to some other member of his party if that would make forming a government easier.
He added: “The SDS is a party that has been around for decades,” before adding slightly cryptically . I am not the only option for the prime minister.”
The second largest party, the centre-left List of Marjan Sarec (LMS), which has 13 seats, meanwhile said it had started informal talks with other parliamentary groups, repeating that it does not plan to go into a coalition with the SDS.
Analysts said coalition talks would be long, with the new government unlikely to be in place before September.
Tanja Staric, a political analyst for Radio Slovenia said: “There is also an option of a snap election but I think parties are likely to do everything to avoid that.”
The yield on Slovenia’s 10-year benchmark bond rose to 1.234 percent by 1200 GMT on Thursday from 1.210 a day before but analysts said that reflected similar moves in core euro zone debt rather than worries about Slovenian political uncertainty.