The couple have met up at two different locations in a bid to bridge the gap which was created when Stewart's affair with director Rupert Sanders came to light, reported E! online.
Pattinson has decided that Stewart's wrongdoing was a "one-off" and he is now taking her back.
"They pretty much decided they couldn't live without each other. Kristen poured her heart out to Robert and told him it was a one-off and a mistake," said a source.
"Rob sees it as Kristen made a really stupid mistake. After a lot of long tearful talks, they've worked it out. Rob can see how truly sorry Kristen is and has totally forgiven her. They really do love each other," the source added.
They have not been seen together in public since pictures emerged of Stewart, 22, kissing Sanders. She also recently pulled out of a planned joint appearance with Pattinson at the MTV Video Music Awards.
Stewart had also said their off-screen drama won't affect their promotion of "The Twilight Saga: Breaking Dawn Part 2", the final movie in the vampire series where they both star in.