The experienced centre-half has endured an injury-plagued 2007/08 campaign and his inclusion in the squad has come as something of a surprise.
He has only recently returned to full fitness after a nightmare 12-month spell which has seen him restricted to just one appearance at club level.
A rupture to the anterior cruciate ligament in his right knee back in December followed a similar problem at the start of the season, and it remains to be seen whether he has the match sharpness required to compete at international level.
To round off a miserable year for the defender his club, Lyon, have announced that they will not be renewing his contract once it expires in the summer.
The news hardly comes as a surprise to a player who has spent more time on the treatment table than on the pitch, but he will be hoping for a positive end to a disappointing period in his career.
Muller made a name for himself at Servette and Grasshoppers, and made his Swiss debut in 1998.
A move to French giants Lyon in 2000 saw him enjoy a trophy-laden four years at Stade Gerland, and after disappointing spells with Mallorca and FC Basle he returned to the perennial Ligue 1 champions for a second time in January 2006.
He represented his country at the World Cup in Germany that summer, but as a 31-year-old without a club he will be hoping to use the European Championships as a shop window in which to display his talent to any potential suitors.
















Switzerland