A stoppage-time goal from Martin de Roon earned Middlesbrough an unlikely 1-1 draw at Premier League leaders Manchester City on Saturday.
Aston Villa were relegated from the Premier League for the first time since it began in 1992 when they suffered their 24th loss of the season in a 1-0 defeat at Old Trafford on Saturday.
Manchester United survived a tense finale to beat West Bromwich Albion 2-1 at the Hawthorns on Sunday and close to within 11 points of Premier League leaders Manchester City.
Manchester City stayed ahead of age-old local rivals Manchester United at the top of the Premier League on Saturday with a deserved 1-0 win away to champions Chelsea.
London clubs' erratic start to the Premier League season improved with victories for Chelsea, Tottenham Hotspur and Arsenal on Saturday but Manchester sides continued to make the running, with City and United the top two.
Manchester United won 2-1 at Crystal Palace to consolidate fourth spot.
Manchester United teenager Marcus Rashford wrote another chapter in his fairytale introduction to top-flight football, scoring a brilliant goal to secure a 1-0 win in his first derby match against Manchester City on Sunday.
Cesc Fabregas and Branislav Ivanovic struck late goals to earn improving champions Chelsea a 2-1 victory at Southampton in the Premier League on Saturday.
Manchester United maintained their push for a Champions League place after a Juan Mata goal on Saturday pushed Norwich City to the brink of relegation.
Leaders Chelsea stretched their Premier League winning run to a club record-equalling 11 as Diego Costa's header shortly before halftime secured a 1-0 victory at London rivals Crystal Palace on Saturday.
Chelsea came from behind to secure a 3-1 win at Manchester City and forge further clear at the top of the Premier League as a dramatic top-of-the-table clash ended in a mass brawl and two City players being sent off on Saturday.
Cristiano Ronaldo bagged his first five-goal haul in Real Madrid's 9-1 hammering of Granada while title-chasing Bayern Munich and Chelsea won again in Germany and England.
Second-half goals from Willian and Diego Costa helped Chelsea ease past Hull City 2-0 on Saturday and grab their first win in four Premier League games.
In England, the celebrations went on at Leicester City as they marked their fairytale Premier League success with another win while champions Juventus' long unbeaten streak in Italy came to an end.
'Keep Calm And Carry On' could be Claudio Ranieri's motto for the second half of the season after Leicester City earned a 1-0 win at Tottenham Hotspur on Wednesday to put the heat back on Premier League leaders Arsenal.
Chelsea were given a stiff examination by Stoke City at Stamford Bridge on Saturday before extending their lead at the top of the Premier League.
Images from the English Premier League matches played on Saturday