Geale made a successful fourth defence of his title against compatriot Anthony Mundine last Wednesday, with Soliman outpointing former world champion Felix Sturm in Germany on Saturday morning Australian time.
No deal has yet been made between the Geale and Soliman camps, though the champion, his manager, Bill Treacy and his American based promoter Gary Shaw will have a phone discussion later this week.
"The notification from the IBF to commence negotiations directly (with Soliman's management) only came out at four o'clock this morning," said Garrie Francisco a member of Geale's management team.
"At this point in time we haven't heard boo from Soliman's camp, we haven't even made step one on the ladder of negotiations."
It is understood the IBF want the Geale-Soliman fight to take place within 90 days.
The Geale camp wouldn't guarantee the fight would take place within the stipulated time, especially if they received a more lucrative offer.
"We're happy to fight Sam when it suits us," Francisco said.
"Sam Soliman is a great bloke, he's been around for a long time.
"If someone offered Daniel big dollars for a unification, you would obviously consider that as well, but Geale will fight Sam sometime this year."
Geale was last year stripped of his WBA title when he opted to fight Mundine over mandatory challenger Gennady Golovkin.
Soliman (43-11, 17 KOs) said Geale (29-1-1 15 KOs) wouldn't risk losing another belt for not fulfilling a mandatory defence against him within 90 days.
"Having the title gives you leverage to negotiate other fights so how will he get a shot at them if he relinquishes," Soliman told SEN radio.
"He won't have any leverage, he won't have anything to put on the table.
"It's a no-brainer and not only that, how bad would it be for him when the whole world wants to see us go at it."
Soliman was considered a long-shot to topple the highly-rated Sturm on his home turf, particularly after a round two knock-down thanks to a potent German right hand.
But Soliman said after that he "fired up" and his frantic work-rate and awkward style wore Sturm down over the last three rounds.
He has a reputation as one of the nice guys of boxing, alongside Geale who gained a new legion of fans against the polarising Mundine.
Soliman didn't think the fight would lose any appeal without a "bad guy" element.
"What he's done in his career and what I've done in mine, we don't need that build-up.
"People just want to see two boxers go at it.
"We've both got so much on the line neither of us are going to take a step back."