Roberto Martinez conceded his Everton side had not been at their best after going down 3-2 at home to Crystal Palace on Wednesday night.
Manuel Pellegrini says his Manchester City side were still thinking about defeat at Liverpool as they were held by Sunderland.
Alex Scott's goal ensures FA Cup holders Arsenal opened their Women's Super League season with a 1-1 draw at Notts County.
Manchester City were forced to come from behind to earn a 2-2 draw against Sunderland at the Etihad Stadium, but the result put a dent in their title chances and left Gus Poyet's Black Cats six points from safety.
Manchester City's Premier League title hopes are dealt a blow after they are held to a 2-2 draw by bottom side Sunderland.
Everton's hopes of securing UEFA Champions League football suffered a big blow with a surprise 3-2 home defeat by Crystal Palace, who reached 40 points for the season.
Gareth Bale scores a late individual goal to win the Copa del Rey final for Real Madrid at the expense of Barcelona.
Everton hand the initiative back to Arsenal in the race for fourth as they suffer a surprise 3-2 defeat to Crystal Palace.
Shay Given says Aston Villa's off-field dramas will not damage their bid to avoid relegation from the Premier League.