Manchester City defeated Salford City in the FA Cup, while Burnley suffered a surprising defeat to Mansfield Town. West Ham United and Norwich City also secured victories in their respective matches.
Manchester City scored three goals in 17 second-half minutes and move within six points of league leaders Arsenal.
City, Liverpool all cruise in respective FA Cup matches played on Saturday.
IMAGES from the EPL matches played on Sunday
Arsenal edged past Crystal Palace on penalties on Tuesday to reach the semi-finals of the League Cup.
Man City snatch chaotic 2-1 win at Liverpool to stay on Arsenal's heels
Federico Valverde scores a hat-trick as Real Madrid defeats Manchester City 3-0 in the first leg of their Champions League last-16 tie.
Goals from Omar Marmoush and Antoine Semenyo powered Manchester City to a muchneeded 20 home win over Wolverhampton Wanderers on Saturday, lifting Pep Guardiola's men provisionally to within four points of leaders Arsenal in the Premier League title race.
Liverpool secured a dominant win over West Ham, while other Premier League matches saw Brentford edge Burnley in a seven-goal thriller and Everton secure a late victory against Newcastle.
Manchester City blew a two-goal lead to draw 2-2 at Tottenham Hotspur on Sunday as a moment of magic by home forward Dominic Solanke handed Arsenal a huge Premier League title boost.
Cash on target as Villa hand Man City their first defeat since August
Man City ease to 3-0 win over Liverpool as Guardiola celebrates 1,000th game in style
England racked up an eighth successive victory against Wales with a 3-0 cruise in an international friendly at Wembley on Thursday.
Newcastle United thumped Crystal Palace 5-0 at St James' Park on Wednesday to go third in the Premier League table with a sixth consecutive win in all competitions as Jacob Murphy scored one goal and set up another.
IMAGES from the Premier League matches played on Sunday
Arsenal's Calafiori secures 1-0 win at Manchester United; Crystal Palace hold Chelsea to 0-0 draw.
A round-up of Saturday's action in the Premier League.
Gareth Southgate said he is confident that fans will come to be captivated by the "different" squad
While England boast a formidable attacking threat, there are concerns about their defence which is perhaps why Southgate is prepared to look at new candidates before he has to make his final call for the tournament.
Lewis-Skelly gets England call-up; Recalls Rashford, Henderson return.
Images from the Euro 2024 final between Spain and England at Berlin Olympiastadion, Germany, on Sunday.
Bellingham, who became the first European player to make an appearance at three major international tournaments before turning 21, looked nothing like a 20-year-old.
Images from the Euro 2024 Group C match between England and Serbia, at Arena AufSchalke, Gelsenkirchen, Germany, on Sunday.
Jarrod Bowen converted a last-gasp penalty to lift West Ham United to a 2-1 Premier League victory over Manchester United in a fluctuating clash between two struggling sides on Sunday.
Leandro Trossard transformed the mood at Arsenal with the winning goal as they recovered from an early setback to beat Tottenham Hotspur 2-1 at home.
A makeshift United defence that included Casemiro at centre-back was easily picked apart by Palace on several occasions
Jude Bellingham rescued England from crashing out of Euro 2024 against Slovakia on Sunday with a stunning 95th-minute equaliser before Harry Kane's early extra-time winner sent the sub-par pre-tournament favourites into the quarter-finals.
IMAGES from the Premier League matches played across England on Sunday.
Palace outclass Everton to cruise into FA Cup semi-finals
Arsenal battled to beat Crystal Palace 2-0 on Friday as the new Premier League season got underway, with Gabriel Martinelli scoring the first goal before home defender Marc Guehi turned the ball into his own net late on at Selhurst Park.
Manchester City have now won only once in 11 games in all competitions.
IMAGES from the English Premier League matches played on Sunday
Images from Saturday's action in the Premier League.
England beat Spain 5-2 to win FIFA U-17 World Cup
Chelsea came from behind to beat Crystal Palace 3-1 thanks to added time goals from Conor Gallagher and Enzo Fernandez.
Images from the English Premier League matches played on Saturday.
Liverpool climbed to the top of the Premier League table with a 2-1 victory over struggling Wolverhampton Wanderers on Saturday.
Manchester City midfielder Phil Foden struck twice as England came from behind to thrash European champions Spain 5-2 and clinch their maiden Under-17 World Cup title, in Kolkata, on Saturday.
Images from Sunday's action in the Premier League
Under-17 WC final preview