Argentina midfielder Leandro Paredes has been given a 10-match ban for the role he played in on-field clashes after his side were beaten 1-0 by Spain in the 2026 World Cup final.
Fifa's disciplinary committee has also handed his team-mate Nahuel Molina a seven-match suspension.
Argentina have also been ordered to play their next two home matches with 50% capacity, though one match of that sanction is suspended.
The Argentinian Football Association (AFA) has been fined $321,000 (£235,000) for breaches of the Fifa disciplinary code relating to using a sports event for demonstrations of a non-sporting nature, team misconduct, and discriminatory chants and gestures by its supporters.
Fifa have ordered that $100,000 (£73,000) of the fine must be invested in a plan to combat discrimination - and $100,000 (£73,000) of the fine is suspended, with a probationary period to apply.
After defeating England 2-1 in the World Cup semi-final, several Argentina players held up a banner claiming Argentine sovereignty over the Falkland Islands, a British overseas territory.
Ezri Konsa has completed a move to Arsenal from Aston Villa in a deal worth £51million plus £4m in potential add-ons.
The England international has signed a four-year contract with the option of a further year, having undergone a medical with the north London club.