Sweden benefited from poor defending and the video assistant referee to beat England 2-1 in the women's World Cup third place playoff match on Saturday.
Rodriguez whipped Everton in front from the edge of the box, and Michael Keane and Calvert-Lewin ensured it was two wins from two in the Premier League so far this season.
Newcastle's worries deepened as they now remain at 19th in the table.
Manchester City blew a two-goal lead and had Ederson sent off in a dramatic 3-2 defeat at Wolves on Friday.
The United States needed two Megan Rapinoe penalties, one of them controversially confirmed after a lengthy VAR review, to beat Spain 2-1 on Monday and set up a quarter-final clash with hosts France at the women's World Cup.
Wolves midfielder Leander Dendoncker then hit the post with a powerful shot before Portuguese winger Podence made it 2-0, meeting Pedro Neto's cross from the right with a superb cushioned volley in the 27th minute.
The hosts could have snatched victory in the last action of the game but Michael Gregoritsch's point-blank header was saved by Lukas Hradecky.
Images from Monday's action in the Premier League.
Defending champions United States reached the women's World Cup final for the fifth time after an incident-packed 2-1 win over England, who missed a late penalty, on Tuesday.
With the world watching him in a World Cup opener against Iceland, the normally brilliant Messi struck a weak spot-kick that was saved, leaving Argentina with a disappointing 1-1 draw.
'But that in no way diminishes France's win. Maybe we were a bit unlucky, in the first six games we were favoured by luck'
Officials of IFAB, the International Football Association Board, made up of the four British home nations and FIFA, agreed to conduct a year-long review into the offside law, which is expected to end with a proposal for a new rule.
Images from the English Premier League matches played on Saturday
Images from the World Cup qualifying matches played on Monday.
The hosts struggled to break down Arsene Wenger's side despite enjoying the majority of possession and will feel hard done by after crafting the best of the game's few openings in a lively game at Stamford Bridge.
Chelsea extended their impressive turnaround under new coach Thomas Tuchel with a 2-0 home win over in-form Everton on Monday as Kai Havertz played a key role in both goals on his return to the starting 11.
Juventus came from behind to snatch a dramatic 3-2 win at Chievo as Cristiano Ronaldo made his debut for the Turin side on Saturday, although the Portuguese was not among the scorers in his first Serie A match.
Raheem Sterling scored a hat-trick as champions Manchester City made a convincing start to their title defence with a 5-0 win over West Ham United.
Germany move into second place in the group on three points, one behind leaders France and level with Portugal.
The change in the rules will be allowed in all competitions which are due to finish by the end of this year and it will be up to individual competition organisers whether to implement it.
A round-up of Wednesday's action in the UEFA Champions League.
Havertz's late penalty seals world club crown for The Blues
Images from the Premier League matches played on Sunday.
A round-up of Saturday's action in La Liga and the Bundesliga.
Ronaldo threw off the captain's armband and headed for the tunnel when his effort was cleared by Serbia defender Stefan Mitrovic after it had crossed the line
Barcelona's 100 per cent start to the season was ended by Catalonian neighbours Girona, who picked up a draw at the Nou Camp, allowing Real Madrid to take advantage with a victory over Espanyol.
IMAGES from English Premier League matches played on Sunday.
IMAGES from the English Premier League matches played on Wednesday.
IMAGES from the English Premier League matches played on Sunday.
IMAGES from soccer matches played on Monday.
Arsenal, who fired Unai Emery as manager last week and appointed former player Freddie Ljungberg as caretaker boss, now sit 10th in the table on 19 points, with Brighton a single point behind and three places below them.
The win took second-placed Real to 62 points after 29 games, two behind champions Barca who beat Leganes 2-0 on Tuesday.
Here are talking points from the weekend's Premier League action:
IMAGES from the English Premier League matches played on Saturday
Images from Saturday's action in the Premier League.
Tottenham Hotspur reached the semi-finals of the Champions League on away goals after a 4-3 (aggregate 4-4) defeat to Manchester City in a breathtaking quarter-final second leg game on Wednesday.
UEFA said on Thursday that they will probe the matter and opened disciplinary proceedings against England on the matter.
England and Denmark were 1-1 at half-time in the second Euro 2020 semi-final at Wembley on Wednesday.
Argentina lose to Brazil in Copa America semis
