Madrid and Barcelona meet in what could be a title-deciding Clasico this weekend.
The two Spanish clubs are separated by just three points in the league, but Zinedine Zidane's side have one game in hand.
Of the last eight Champions League finals, five have been won by either Madrid or Barcelona and only one other side has won La Liga in the last 12 years.
Jamie Carragher suggested Liverpool played Real Madrid and Barcelona while they weren't as strong
Real Madrid and Barcelona have won five of the last eight Champions League finals
They have dominated world football in recent years but between 2004 and 2012 it was the Premier League sides who were running the rule on European football.
Chelsea, Arsenal, Liverpool and Manchester United reached the Champions League final on eight occasions in that time period, including Liverpool's famous night at Istanbul in 2005.
But Carragher believes there has been a significant shift in the past few years with Madrid and Barcelona taking world football by storm.
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"I think it's about timing, about when you go there," Carragher told Sky Sports.
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"We went to the Nou Camp and the Bernabeu under Rafa Benitez and we won at both stadiums.
"But that was the best we were then, maybe we were coming up against them when they weren't at their best.
"Juande Ramos was the manager of Real Madrid in 2009. They still had some great names – Raul, Arjen Robben and Sergio Ramos were playing – but we won 1-0.
"We had a lot more experience, six, seven years of playing in Europe, so when you go there you're actually quite confident of getting a result.
"But if you think of the problem our clubs have in the Champions League now, it's a big change to 2005-2010 when English clubs dominated.
"It's certainly turned on its head now, with the two big Spanish clubs the teams to beat."