Federer, the second seed and 2004, 2006 champion in Toronto, will now cross swords with Dutchman Robin Haase for a place in finals.
"Confidence can get you a long way, and if you're feeling fine physically and you are ready to fight mentally you have a lot of things in the bag", said the 19-times grand slam champion.
The Swiss maestro took that momentum into the opening game of the second set and, despite a poor volley gifting Bautista Agut a point, he broke to apparently seize control.
Federer grabbed a second service break late in the third set to effectively seal the victory and improve to 17-0 lifetime against the 35-year-old Spaniard.
"It's a big bonus right now and I hope I can play as free as I have so far in the finals tomorrow".
"If I don't save those match points in the first match, there's no chance of being here".
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That's what we have at this football club, players who are prepared to put themselves in positions to score goals. Pulis said: "We want everyone to chip in and the quality we got from set plays today was absolutely fantastic.
"I struggled against Ferrer early on, so today was better".
In a semifinals, seventh-seeded Rohan Bopanna of India and Ivan Dodig of Croatia defeated sixth-seeded Raven Klaasen of the Netherlands and Rajeev Ram of the United States 4-6, 7-6 (8), 11-9; and fifth-seeded Pierre-Hugues Herbert and Nicolas Mahut of France downed eighth-seeded Oliver Marach of Austria and Mate Pavic of Croatia 7-5, 6-3. After breakout scintillating wins over Juan Martin del Potro, Rafael Nadal and Adrian Mannarino, in addition to having saved match points in his first round match, the young 18-year-old fell just short in a spirited contest with 20-year-old Alexander Zverev who outclassed and overpowered the Canadian 6-4, 7-5 in the quarterfinals.
Federer holds a 2-1 edge in career meetings with the Zverev, including a victory over the German on grass in June. I've had several tough matches.
Roger Federer will be seeking his third career Rogers Cup title when he competes in Sunday's final at Montreal. "After one-and-a-half years, I got back".
Federer hammered five aces, made just two double faults and won 81 per cent of his first serve points in the 68-minute centre court match.
"I just tried to stay steady, tried to take the ball on the rise and try to stay aggressive when I could and keep my serves aggressive too", Wozniacki said, according to WTATennis. "But, in general, to make an achievement like this is good because it shows you can do it".