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The News understands the defender would welcome the chance of a return to Fratton Park.
But the former Blues captain will have to wait to see if a third spell at the club he came through the ranks at will materialise.
Pearce has yet to find out if he is part of Charlton boss Lee Bowyer’s plans, after they secured promotion to the Championship with their play-off final victory against Sunderland.
With a year left on his existing agreement at The Valley, that will need to be clarified in the coming weeks.
There is the potential for Pearce to arrive on a loan deal for the next campaign, paving the way for a permanent stay when he becomes a free agent.
Pompey need to strengthen in the middle of the defence, with Matt Clarke likely to be on his way this summer and Jack Whatmough expected to be sidelined until February with a knee cartilage injury.
The likes of free agent Paul Downing is also being considered by Pompey, after his deal came to a close at Blackburn.