The current deal that runs from 2021 and 2025 was negotiated by former F1 CEO Chase Carey in what was regarded as a new spirit of cooperation compared to the often confrontational debates of the earlier Bernie Ecclestone era.
Preliminary discussions have already begun over the next Concorde, the first on Stefano Domenicali's watch as F1 CEO, even though it won't come into force until 2026.
Maffei says negotiations are much more straightforward these days due to an improved relationship between F1 and the teams, with all parties realising that the overall revenue pie is getting bigger.
"Historically, the Concorde Agreement was a snot-gobbling fight, and never got signed until after the season had already ended," said Maffei at an event hosted by Goldman Sachs.
"And they were operating backwards on what they were getting paid. We got it done this time. We're trying to change the dynamic, and I credit first Chase Carey and now Stefano with changing the dynamic with the teams, where we are far more aligned.
"That doesn't mean they want to pay us more, but they all agree on the value that we're doing together, and that growing the pie has been a positive thing for everybody. And providing stability and certainty about where we're going is a benefit to them.
"You've seen the value of F1 rise dramatically as we've grown EBITDA [earnings before interest, taxes, depreciation and amortisation].
"But the reality is the teams' valuations have increased much faster. They see the benefit of the regime that we've together created, they see the benefit of extending that deal."
Source: Autosport