Fulham had a comfortable Sunday morning in Cardiff to ease their way into the fourth round.
Goals from Stefan Johansen and Ryan Sessegnon snuffed out a lucky early lead for the hosts.
From then it became a passing exercise for Whites, with little to trouble recalled keeper Marcus Bettinelli.
Man of the match Ryan Fredericks summed up the victory in south Wales.
"We came here with a dull strength team hoping to dominate - and that's what we done. We play good football and work on it Monday to Friday in training," he said.
Manager Slavisa Jokanovic raised nary an eyebrow at anything over the 90-plus minutes - but admitted the game plan was honed to perfection.
"We kept control and possession of the ball and created many chances - and it's similar to what we did in the Championship. I have a good solution in our full-backs who played very well today.
"It's our strength to keep possession of the ball. We needed to be strong in the second phase, and this was how we prepared today," he added.
Captain Tom Cairney has booked a date in front of the TV for tomorrow night's fourth round draw.
"We're delighted," he said. "We dominated nearly all the game - or at least large parts of it. We couldn't find that third goal so it was a bit edgy, but we were mostly comfortable.
"We didn't panic. The manager installs in us that if we make mistakes we've still got to play the right way - and I think we played some great stuff today."
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