The incident occurred just before half-time on Saturday when supporters of La Roja began to insult the Barcelona striker’s family, according to reports.
The 28-year-old’s brother, Rodrigo was hit by one fan after an angry exchange and the whole family were moved to a television cabin at half-time for their own safety.
The family of striker Sergio Aguero were also insulted by a sector of the Chilean fans.
Messi, meanwhile, was handed some rough treatment by the rival defenders at the Estadio Nacional and was struck in the chest by a violent kick from defender Gary Medel in the first half. (IANS)