Haas could link up with the Italian carmaker Maserati for 2018.
Days ago, it became official that Ferrari-powered Sauber's new title sponsor would be Alfa Romeo, a Fiat-owned luxury car manufacturer.
Now, Italian newspapers including Corriere della Sera say that another Fiat brand could now follow Alfa into Formula 1.
Fiat Chrysler president Sergio Marchionne is said to be in advanced negotiations with another Ferrari-powered F1 team, Haas, about a Maserati title sponsorship deal.
When asked about the Maserati rumours a few days ago, Marchionne said: "We will see. Time will tell.
"We are thinking about it, but we have not made any decision yet."
The report said that talks with Gene Haas are currently taking place, even though the American businessman is not commenting.