"We have been talking to the Premier League about doing some sort of official competition as opposed to just having clubs come over to the country on a random basis playing in a tournament that takes place every summer," Garber said.
"I would love to find a way that we could play our cup champion and our league champion against an FA Cup and league champion in a tournament and play it in New York City every year.
"If not every year, then every four years.
"This concept of super cups involving the MLS, whether it's one with Mexico or one with some of the other leagues, would be smart.
"And many years ago they used to take place before MLS was in existence. It was called the Toyota Cup. That took place around the world.
"Overall there is no doubt that there are opportunities for the MLS and Premier League to work more closely together on either a tournament or some other type of activity, but that is about as far as it has gone."
In future years, other major competition winners from across Europe could feature too.
"You have calendar issues, but there is no reason why it couldn't (happen)," Garber said.