The defender was emotional as he was substituted in Milan and had to be comforted by boss Zinedine Zidane.
After the tests carried out today at the Sanitas La Moraleja University Hospital, the player Daniel Carvajal has been diagnosed with a grade 2 injury to the right iliopsoas,’ Real said in a statement on Monday.
‘His recovery will continue to be assessed.’
Spain coach Del Bosque included the 24-year-old right back in his provisional Euro 2016 squad but Carvajal is now facing at least two weeks on the sidelines.
Carvajal earned his first cap for Spain in August 2014 and has made four further appearances for the two-time defending European champions.
Del Bosque now faces a dilemma ahead of announcing his final 23-man squad on Tuesday.
If Carvajal is left out, Bellerin will be his likely replacement.
A regular in Spain’s Under-21 squad, Bellerin made his senior debut in Sunday’s 3-1 win over Bosnia and has remained with the squad.
Bellerin had a strong season with Arsenal, starting 45 games in all competitions, including 36 in the Premier League.
The 20-year-old was named in the Professional Footballers’ Association (PFA) team of the year.
Spain begin their title defence against the Czech Republic on June 13 in Toulouse.