Chelsea almost stole the points at the death but Argentine Hernan Crespo wasted two good chances while defender Ricardo Carvalho headed over.
Chelsea manager Jose Mourinho has much to ponder as he prepares his side for Saturday's local derby against Fulham at Stamford Bridge.
Real Madrid president is targeting seven high-profile coaches for the Spanish club
Jose Mourinho said Father Christmas must be a Chelsea fan after his side grabbed a last-gasp 3-2 win at Wigan Athletic on Saturday.
The EPL champions, Jose Mourinho and Ashley Cole were found guilty of breaking contract rules by the governing body.
In Europe, Chelsea enjoy none of Liverpool's reputation, earned with five European Cup finals and four triumphs.
Spanish media have reported that Real president Florentino Perez would be keen to recruit former coach Mourinho, currently without a club, should Zidane be relieved of his duties.
The duo are young young, articulate, and have shown themselves to be shrewd tacticians and expert motivators in leading two comparatively modest teams to the final
Manchester United midfielder Paul Pogba will miss his side' s Premier League clash against Southampton on Wednesday as he has to attend his father's funeral.
Jose Mourinho has been offered a three-year extension worth 5.2 million pounds a year
"If I leave Porto, I can't guarantee it will be England but if the alternative is Italy then England will be my choice," said Porto coach Jose Mourinho.
Louis van Gaal says the visit of Jose Mourinho and his Chelsea side to Old Trafford on Sunday will be extra special for the Manchester United manager as he greets his "modest" former apprentice.
Chelsea travel to Old Trafford to play Manchester United on Monday and Mourinho said he would miss the relationship he used to enjoy with their former manager Alex Ferguson, who retired at the end of last season.
The 28-year-old Portugal midfielder joined the English Champions until the end of the season.
ManchesterCity manager Pep Guardiola has expressed doubts over whether Manchester United can challenge for the Premier League title but believes they have a realistic chance of finishing in the top four.
League leaders Chelsea and Liverpool however won their matches in the Premier League.
Chelsea beat Portsmouth 2-0 while Arsenal easily got the better of Blackburn Rovers 3-0 in Saturday's EPL matches.
Tottenham Hotspur secured a place in the Europa League next season as they closed out their Premier League campaign with a 1-1 draw at Crystal Palace on Sunday.
Chelsea begin their bid to become only the fifth team in 119 years to win a third successive English league title this weekend.
Video footage showed Tottenham's Eric Dier climbing over seats and confronting a home fan before he was restrained by security guards and other fans. He was eventually led away.
Real Madrid's Welsh winger Gareth Bale has joined Lionel Messi and Cristiano Ronaldo in the race for FIFA's Ballon d'Or award.