Before that, he'd dropped as low as 12 under with a birdie on the 12th hole - capping a stretch of four birds on five holes.
For a few minutes, that 12 under score had him tied for fifth - within two shots of the top - but he immediately followed that hot streak with bogeys on 13 and 15 and the triple on 16 to fall out of contention.
Love did finish strong, however, with birdies on the final two holes to end up with a 68 Sunday, 9 under for the tournament, putting him in a tie for 17th.
It was the best showing at Old White TPC for both golfers, who have competed in all three Greenbrier tournaments. Each missed the cut last year, and in 2010 Love tied for 60th and Daly was 77th.
Daly, now 46, said he's looking forward to joining the Champions Tour in four years, but for now he'd like to regain his PGA Tour card and play full-time there and not have to compete so much on the European Tour.
"I'm enjoying the European Tour, but it's killing my body on the travel,'' he said. "But if I've got to keep doing it, I'll keep doing it.''
Daly did have something else on his mind as he left The Greenbrier resort. He said he's spearheading an effort to get Greenbrier owner Jim Justice to lose some weight.
On the first tee Sunday, Daly told Justice he'd give him $100 for every pound he lost to the charity of his choice.
"I came up with a plan,'' Daly said, "and Tiger [Woods] said he's on board, too. Because we care about him. He's a big guy and if we can get him to lose some weight, it adds 30 years to his life, and maybe 40. He'll be happy.
"It's just time somebody did something for him, and not him doing something for everybody else all the time. He's just the greatest. They've added on nine more years [to the Greenbrier Classic contract], which says the players are happy and I think the Tour's happy. He's just got the biggest heart of any man I've ever known.''
Justice reportedly vowed to do his best regarding the bet, and said he'd probably prefer to do something to help military families as his charitable designation.