It said Foran would tour the Storm's facilities and meet with coach Bellamy and his key staffers.
"The Kiwi international is keen for the visit not to disrupt his game preparations and is likely to seek the permission of Warriors officials to do so," the paper reported.
"We are yet to rule any candidate out," Storm chief executive Dave Donaghy told the SMH.
"We won't be rushed into anything, there are a number of retention and recruitment decisions to be made in the coming weeks and months."
Foran is also in Newcastle's sights for next week and is being strongly linked to the Canterbury Bulldogs. Reigning premiers Cronulla may also be in the mix after losing Jack Bird to the Brisbane Broncos.
Foran's preference is to play in Sydney to be closer to his family but that doesn't rule out the Storm as an option.