Everton were left to rue a series of wasted opportunities and emerged with a point in a goalless draw at the Liberty Stadium.
Everton had the better of a dull first half, although Swansea’s Bafitimbi Gomis came closest to scoring when skewing wide of Tim Howard’s goal.
Both teams improved after the break but is was a half dominated by Everton, with with Romelu Lukaku guilty of passing up two excellent opportunities to give Everton the lead, twice firing his effort over the bar when through on goal.
Kevin Mirallas was sent off in the last minute, 136 seconds after coming on as a substitute, for a studs-up challenge.
Everton manager Roberto Martinez: “The first half was very level. We needed to be more aggressive going forward and that’s why I’m pleased with the second half.
“We created good chances and they should have won us the game. I’m disappointed, but the overall performance was satisfying.
“In the second half we took control, we played through them a few times and everything started with the composure of John Stones and Phil Jagielka.”