England suspended vice-captain Stokes and opener Alex Hales, who was with him at the time, after the incident.
Avon & Somerset Police said on their official Twitter account on Wednesday: "A 27-year-old man suffered a fractured eye socket in the incident on Queens Road, Clifton."
"Today (29/11), we have passed a file to the Crown Prosecution Service and are now seeking charging advice."
Stokes is not with the England team in Australia for the Ashes series but on Monday travelled to New Zealand.
He has been approached by local side Canterbury about his availability to play for them.
Stokes has been told by the England and Wales Cricket Board (ECB) that he will not be selected until further notice while police conclude their investigation into the nightclub incident.
England lost the first Ashes test against Australia by 10 wickets. The second test begins on Saturday in Adelaide.
(Writing by Simon Jennings in Bengaluru; editing by Ken Ferris)
