The two clubs first played each other in September 1930 but Swansea had failed to win in 20 attempts ahead of this tussle.

Yet goals from Nathan Dyer, Gylfi Sigurdsson and Marvin Emnes comfortably saw them win through to the fourth round at the Liberty Stadium tonight.

Dyer opened the scoring with his fourth goal of the season after 28 minutes, Sigurdsson added another midway through the second half and substitute Emnes drove home the third in the closing moments.

Everton had made seven changes to the side beaten by Crystal Palace in the Barclays Premier League on Sunday, and Swansea five to the team which lost to Southampton a day earlier, but there was no shortage of quality on the pitch and plenty of strength on both benches.

Bryan Oviedo made a welcome return for Everton after suffering a double leg break in an FA Cup tie at Stevenage in January, but it was Swansea winger Jefferson Montero who caught the eye with a fleet-footed display down the left flank.

Montero made the first goal for Dyer and almost a second for Sigurdsson before Everton’s resistance crumbled and Swansea’s superiority was rewarded on the scoresheet.

Victory was particularly sweet for rookie Swansea boss Garry Monk who was up against his great friend and former manager, Roberto Martinez, in the Everton dug-out.