Real booked their place in the final when substitute Arda Guler lifted a corner to Ruediger, who headed the equaliser that put Real Madrid through on aggregate.
Kylian Mbappe and Brahim Diaz also struck for Real, to cancel out a double from City's Erling Haaland
Brazil, who are fifth in the CONMEBOL table with 18 points from 12 games, host Colombia on March 21 and visit Argentina five days later in a match that could see Neymar come up against former Barcelona and Paris St Germain teammate Lionel Messi.
Villarreal fought back to shock Barcelona 3-2 on Sunday, handing the LaLiga champions their first league defeat since late December.
Carlo Ancelotti's side were then reduced to 10 men in the 79th minute when Vinicius Jr was shown a straight red card for slapping Valencia goalkeeper Stole Dimitrievski.
A stunning bicycle kick from Antonio Sanabria and a second-half header from Omar Alderete gave Paraguay a well earned 2-1 home win over Argentina.
A round-up of Saturday's action in LaLiga, Ligue 1 and Serie A
The result means Real, on 49 points, are one point clear of Atletico Madrid, who beat Mallorca 2-0, ahead of next weekend's Spanish capital derby at Santiago Bernabeu.
Images from Sunday's action in LaLiga and Serie A.
Real Madrid paid for defensive mistakes as they were held to a 3-3 draw at lowly local rivals Rayo Vallecano on Saturday.
'Bellingham had a bruise from a knock and will not be available. Vinicius Jr. has been given an extra day to recover, but will be available for tomorrow.'
Jude Bellingham topped the men's overall voting, with the Real Madrid and England midfielder receiving 11,176 selections from his peers.
Indian club East Bengal produced an utterly dominant show to crush Bangladesh's Bashundhara Kings 4-0 in their AFC Challenge League match in Thimphu on Tuesday.
A summary of Wednesday's Champions League Round of 16, Second Leg, matches.
Kylian Mbappe bagged his first hat-trick for Real Madrid as the LaLiga champions easily beat bottom-club Real Valladolid 3-0 on Saturday
Real Madrid got their LaLiga title defence off to a limp start as they were held to a 1-1 draw at Mallorca.
A summary of Saturday's action in the LaLiga, Serie A and Bundesliga.
Real Madrid manager Carlo Ancelotti said that he understands the club fans booying him and his team in their 5-2 win over Celta Vigo.
Roundup of the matches being held across major football leagues in Europe
A summary of Saturday's action in the Bundesliga and La Liga.
Girona thrash Osasuna for first win of the season
IMAGES from football matches played across European leagues on Saturday
Rodri won the Ballon d'Or award for the best player in the world, beating Brazil's Vinicius Jr and England's Jude Bellingham.
Sporting marked the final home game of coach Ruben Amorim's reign in stunning fashion as Viktor Gyokeres' hat-trick saw them come from behind to thrash Manchester City 4-1 and maintain their superb start to the Champions League on Tuesday.
The Ballon d'Or, which is awarded annually since 1956, is one of the most prestigious individual honours in football.
Real Madrid said their participation in the tournament was never in question.
Brazilian forward Vinicius, 19, did not train with the squad on Thursday as a precaution ahead of Friday's La Liga home game against Alaves.
Real Madrid fought back from two goals down as Vinicius Jr grabbed a hat-trick in a thrilling 5-2 win over visitors Borussia Dortmund in the Champions League.
'We were happy with the win because we played a great game until the 88th minute, when two lapses in concentration led to two goals and we had to suffer a bit more than we should have.'
Kylian Mbappe was in inspired form, scoring twice to guide Real Madrid to a comeback 4-1 win over visitors Las Palmas on Sunday.
Ancelotti still hoping Real can claim top-eight finish in Champions League
Two goals from Luis Diaz and one from Mohamed Salah helped Liverpool stroll to a 3-0 victory at Manchester United.
The Spanish Football Federation (RFEF) and LaLiga have taken steps to tackle an increase in racist abuse with measures including partial stadium closures.
IMAGES from the UEFA Champions League matches played on Tuesday.
Ronaldo had won his first Ballon d'Or in 2008 while he was playing for Manchester United and still holds the record of the last Premier League player to claim the top prize. Messi won his first in 2009 and was nominated for 16 years.
Vinicius Jr came off the bench to score once and set up another goal to steer champions Real Madrid to a 4-1 fightback victory over Espanyol.
Vinicius Jr scored a hat-trick in the first half as Real Madrid were crowned Spanish Super Cup champions
Real Madrid have avoided defeat in their last 41 LaLiga games, the second best streak by a team in the competition's history.
Mbappe says playing for Real Madrid will complete childhood dream
Barcelona's Robert Lewandowski scored a quick-fire second-half double to set the leaders on course for a thrashing of Real Madrid.
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