Bush invited the TERMINATOR star to join him at a ceremony to honour former President Ronald Reagan during a two-day trip to California, but Schwarzenegger politely declined, insisting he was too busy campaigning for re-election.
Political pundits claim Schwarzenegger is annoyed with the timing of Bush's visit - after the President refused to reschedule his California sojourn to help the former action man win over more voters.
But as part of a trip to a solar energy plant yesterday (20OCT05), which coincided with Bush's arrival at Los Angeles' LAX Airport, Schwarzenegger insisted people were reading too much into his decision not to meet with the leader of his party.
He said, "I think it's very important not to make a big deal out of it, because it's not.
"President Bush is always welcome to California. I've made it very clear that I have a great working relationship (with him)... I've talked to him many times, and that's the end of that."