Juan Castro of Marca reports that the Reds are interested in securing the Turkish midfielder.
Liverpool – a club currently experiencing tricky times financially – would be willing to accept Madrid's only condition for Sahin to leave: that if he does so it would be on a loan or a transfer with a reasonable buy-back clause.
Brendan Rodgers being the new Liverpool manager counts in the club's favour, seeing as he began his life in the premiership working for José Mourinho. Rodgers was selected by Mou to train the Chelsea reserve team whilst the Portuguese was in charge of the Blues.
Jose Mourinho has made it clear that he's open to letting Sahin leave the Bernabeu.
The midfielder will be open to just about any move to a Premier League club as his time at Madrid has seen him largely riding the bench. It's clear that he should have stayed at Borussia Dortmund for at least another season before making a move to a club the size of Real Madrid.
Injuries also hampered his debut season at Madrid. However, even at full health, Sahin will find difficulty moving into a midfield that features Xabi Alonso, Kaka, Sami Khedira and Mesut Ozil.
Arsenal were thought to be the front-runners for any possible moves, but with Santi Cazorla arriving at the Emirates, Arsene Wenger might not be making too many more moves before the possible transfer of Robin van Persie.
With the departure of Alberto Aquilani, there's a gap in the center of Liverpool's midfield. While Marca might not be the most reliable or trustworthy of news sources, the Merseyside club should be looking into a move for Sahin.
Even before Aquilani's transfer to Fiorentina, there was a major lack of creativity from the midfield for Liverpool. The club didn't have a player like Xabi Alonso or Raul Meireles who could provide linkups in the attack from a deep central midfield position.
The Reds are also looking into a move for Swansea midfielder Joe Allen to fill that gap in the squad. The price tag on a transfer for Allen would likely be £15 million or thereabouts. That is an awfully steep price for a 22-year-old with only one year of top-flight football under his belt.
Allen might be talented, but he hasn't done near enough to warrant a transfer above £10 million. Even then it's a bit of a risk.
It appears to be a price mostly determined by potential, much like the £35 million for Andy Carroll and the £15 million for Jordan Henderson. Those two moves haven't exactly been good value for Liverpool.
Sahin, only 23, might cost around the same amount, but he comes having played five years in the Bundesliga for Dortmund and one year in the Eredivisie with Feyenoord. He was also named the Bundesliga's best player in 2010/11.
A move for Sahin might not be likely, but it is something that Liverpool should definitely pursue.