Cavani netted an opportunist 71st-minute equaliser after Allan Saint-Maximin gave the home side a seventh-minute lead with a fine individual effort, side-stepping two markers before he fired past De Gea.
Twelve months ago Liverpool were ripping up the record books on the way to their first English top-flight title for 30 years but defeat by Everton on Saturday left them mulling a host of far less flattering statistics.
The home team's record signing Jefferson Lerma, who cost 25 million pounds ($32 million) in August, scored a spectacular own goal to give Arsenal the lead but Norwegian international Josh King, back in the Bournemouth side after injury, equalised just before halftime.
Newcastle's worries deepened as they now remain at 19th in the table.
Mohamed Salah's 100th Premier League goal helped Liverpool cruise to a 3-0 victory at 10-man Leeds United on Sunday in a match that was marred by a nasty injury to teenager Harvey Elliott.
There was no celebratory run down the touchline, no dancing on the pitch, just a sober reflection of a job well done from Chelsea boss Jose Mourinho on Sunday after his side beat Crystal Palace to win the Premier League title.
IMAGES from the English Premier League matches played on Sunday
Brighton & Hove Albion scored three times in the second half to fight back from two goals down and beat Manchester City
Images from the English Premier League matches played on Saturday
Ronaldo back for Man Utd but injured Shaw faces weeks out
City having already bagged the title and Newcastle safe, there was nothing riding on the fixture but it served up some rich entertainment
Sergio Aguero proved he is still vital to Manchester City's cause as the Argentine paved the way for a routine 2-0 victory at bottom club Sunderland on Sunday.
Imperious Liverpool extended their Premier League home winning streak against Arsenal to six on Saturday with an easy 4-0 victory that lifted them to second in the table.
This weekend's FA Cup final is expected to have 21,000 fans present.
Manchester United climbed two places up to second in the Premier League after Marcus Rashford scored deep into stoppage time to give them a fortuitous 1-0 home win over Wolverhampton Wanderers on Tuesday.
Images from the English Premier League matches played on Sunday night
Images from Premier League matches played on Sunday.
Striker Sergio Aguero has admitted the Premier League title is slipping out of ManchesterCity's reach and urged his teammates to keep rivals Manchester United at bay in the race for Champions League qualification ahead of Sunday's derby.
On the final day of matches in the English Premier League, Chelsea, who finished the season with 87 points after beating Sunderland 3-1 at Stamford Bridge on Sunday, lifted the trophy on Sunday.
Liverpool frustrated as they were forced to settle for a 1-1 draw at Brighton on Saturday
IMAGES from the EPL match played between Chelsea and West Brom at Stamford Bridge in London on Monday
IMAGES from the English Premier League matches played on Wednesday.
Shastri reminisced the first day of the IPL.
Tottenham Hotspur and Liverpool raised the spirits with a rip-roaring 2-2 draw in a pre-Christmas Premier League classic on Sunday after a weekend marred by COVID-19 related postponements.
Arsenal fear Sanchez injury loss could be 'big blow'.
IMAGES from the English Premier League matches played on Saturday
Leicester City said they had a request to postpone Thursday's game against Tottenham Hotspur rejected by the league.
Leicester City failed to grasp their first chance to clinch the Premier League title when they drew 1-1 at Manchester United on Sunday but they moved ever closer to a first English top-flight crown.
United fizzled out in the second half and Norwich looked more likely to break the deadlock as David De Gea kept out a Teemu Pukki shot from the edge of the area before Ronaldo struck, sending Krul the wrong way.
Images from Saturday's Premier League action.
Frank Lampard, Chelsea's all-time leading scorer, netted against his old club when he came on as a late substitute for Manchester City to give the champions a 1-1 draw.
Friday's 1-1 draw left Newcastle 18th on two points and piled more pressure on manager Steve Bruce while Leeds are 16th on three points after they missed a string of chances in an action-packed first half.
Champions Liverpool were ripped apart 7-2 at Aston Villa and Manchester United were humiliated 6-1 at home by Tottenham Hotspur on Sunday in one of the most astonishing days of Premier League results.
IMAGES from Premier League matches played on Saturday.
Salah was seen training with a protective cast on his forearm this week but Klopp dismissed any fresh injury concern relating to the Egyptian.
Liverpool have extended captain Jordan Henderson's contract, the Premier League side said on Tuesday, putting an end to speculation over his future at the Merseyside club.
Chelsea kept alive their remote Premier League title chances with a 2-0 win over London rivals Tottenham Hotspur on Sunday, set on their way by an exquisite strike from Hakim Ziyech which was quickly followed up by a Thiago Silva header.
Images from the EPL matches played on Sunday
Ronaldo was given a standing ovation by fans in the seventh minute of the meeting at Anfield, with Liverpool fans singing, "You'll Never Walk Alone" while their United counterparts applauded.
Chelsea have condemned online racist abuse aimed at defender Reece James and called on social media platforms to take tougher action against users who engage in such 'despicable behaviour'.
