The actress, 22, is hoping that if Rob, 26, goes back to the island - a place they once described as 'their ideal wedding destination' - he'll realise just how important it is to fight to save their relationship.
A source says: 'She wants him to meet her there next week to talk.
'She's been doing everything she can to reassure him that her fling with Rupert was a one-off.
'It seems he'll relent - she's still his world.'
The Isle of Wight has special significance for the pair.
They were snapped on a secret getaway on the island in December 2009, months before going public.
They enjoyed it so much that they were rumoured to be buying a home there.
They returned in December 2010 to celebrate New Year's Eve as a proper couple at The Spyglass Inn in Ventnor.
Our source adds: 'Kristen thinks that if anywhere will remind Rob of what they had together, it's there.
'They've shared happy times on the island and even talked at one point about how it'd be their ideal wedding destination.