He had a great chance to pick up his 15th major victory but went double bogey and bogey to push him out of the lead.
Molinari played alongside Tiger Woods on Sunday, in a repeat of their halved singles match on the final day of Europe's "Miracle in Medinah" Ryder Cup win six years ago.
Unsurprisingly the par-five 14th was the easiest hole for the fourth straight day, with McIlroy and Rose making two of the three eagles. Not many can say that they've won a major championship in the same pairing as Tiger Woods, especially if he holds the lead.
Steady opening rounds of 70 and 72 took him into the weekend, before a stunning 65 on Saturday propelled him into contention.
The "where I was" referred to the years of debilitating back pain that was finally solved by a spinal fusion last April, allowing him to resume his career after four years of severely-curtailed appearances.
"It's been a few years since I've felt like this", Woods said. 'I think this will set me up for the rest of the year and now I can look forward to the season's final major next month'.
Unlike Spieth, who has three career majors, including a British Open, Schauffele is seeking his first and he called the day "a bit of a disappointment". The flop didn't reach the green, and he needed three putts from just off the putting surface and in the end, it was his first double bogey of the week. "My record around here was bad, which didn't make me too optimistic about the week", he said. He sent his second shot into the gallery, with the ball rebounding out into the rough.
Jordan Spieth pronounced himself "back in business" on Sunday despite falling short in his quest to join an elite list of players to win consecutive British Opens.
Spieth failed to make even one birdie in the final round, adding instead three bogeys and a double bogey, the latter courtesy of that visit to the bush on the par-5 sixth.
At this time past year, Woods was only a few months removed from a Hail Mary fusion surgery; from a humiliating DUI arrest in which he was found slumped behind the wheel of his auto, with five drugs in his system; from a month-long stay in a rehab clinic to manage his sleep medications.
That will make it more hard on the opening stretch of holes for everyone in the later groups, including Spieth who hit a driver onto the first green and made eagle on his way to a 65 that tied him with Kisner and Xander Schauffele.
Tiger Woods led the freakin' Open Championship with nine holes to play.
Of course, Woods isn't the only one with a bounce in his step. Just keep it in perspective, and the same thing with me.
Woods appeared to be in position to take another stroke off his score on No. 5, but his approach shot rolled away from the hole, leaving him with about a 30-foot putt. "So I could use it to my advantage, and, just did a great job at that".
"Anyone can look at it however they want to, but I'm going to look at it as a positive moving forward and try to learn how to handle the situations a little better next time".