Traditionally one or two countries have hosted the tournament.
The next competition in 2016 will be hosted by France.
“The Euros in 2020 could be held all over Europe,” said Platini.
“It could be either one country and 12 stadiums, or one stadium in 12 or 13 cities.”
A decision on Euro 2012 will be taken in January or February next year.
“This matter will be discussed very seriously,” he added. “We will have a great debate about 2020 and discuss the pros and cons.
“It’s an idea I feel really passionate about, it will be a lot easier from a financial perspective.
“We are not going to wait until we know whether Turkey are going to get the Olympics.
“It creates a problem for us. We do have other candidates. Everyone has the possibility to host it.
“It is easier to go from London to Paris or Berlin than Cardiff to Gdansk. It would be four games per venue. It is a great debate.”
