A number of supporters made their way on to the pitch in the closing stages of the encounter at St Jakob-Park, which European champions Real won 1-0 courtesy of a goal from Cristiano Ronaldo.
UEFA announced on Thursday that disciplinary proceedings had been opened in relation to the incident.
A brief statement from the organisation confirmed Basel had been charged with breaching regulations due to a "field invasion by supporters".
The statement added: "The case will be dealt with by the UEFA Control, Ethics and Disciplinary Body on 11 December 2014."
The Swiss champions hold a two-point advantage over Liverpool, who they face at Anfield on December 9, and Ludogorets.
TOPICS
LATEST ARTICLES
