Atwal, who made the cut even as big names like Tiger Woods and Phil Mickelson missed it, shot a third round of two-over 72 yesterday and is now one-over after three rounds.
Atwal had an eventful round with three birdies and five bogeys.
Meanwhile, US Open champion Webb Simpson enhanced his reputation with a five-uneer 65 that gave him a two-shot lead going into the final round. After a bogey free round, he is 14-under at Greenbrier Resort's Old White TPC Course.
Troy Kelly shot a brilliant 62 and moved to second spot at 12-under, while rookie Charlie Beljan (67), JB Holmes (66) and Ken Duke (65) were 11-under.