The 19-year-old's seventh-place finish sees him sitting in 12th in the drivers' championship, despite only having competed in one race.
There has been suggestion that the young Brit may take to the grid once more in a race in the not-so-distant future with Haas, after Kevin Magnussen's penalty-stricken Miami GP weekend left him on the verge of a one-race ban.
The test took place in Fiorano, with Bearman once again driving Ferrari's SF-24 car, but the young Brit was not impressed with the FIA and F1's new invention.
"I followed Arthur Leclerc who was running with the wheel covers," Bearman told Motorsport.com.
"So far, not really much to say about them. I think you saw the videos, it was quite similar. So I think back to the drawing board, we need to keep looking at it.
"We did a few different configurations, but we only wet the straights just to see if you could follow on the straights.
"We did four or five runs just trying different levels of openness, because if it's fully closed, it's also quite tough for the temperatures of the tyres."
Bearman stepped into the Haas car during FP1 at the Emilia-Romagna GP, his first of six FP1 sessions throughout 2024. The Brit has largely been touted for a 2025 place on the grid, but he isn't taking anything for granted.
"I haven't been set any goals, no. I think the pressure is mainly coming from myself," he told media ahead of the Imola weekend.
"I just want to keep learning and improving. Every time I drive the F1 car, I'm always increasing my experience.
"I still haven't done many laps in F1 compared to the other guys, so I just want to maximise my potential."
"I've never had doubt in my ability," the young Brit continued. "Since the start, I knew that I was good enough to fight - whenever I've jumped into a new category I've been competitive straight away, so that's never been in doubt for me.
"Jumping in the Haas in Mexico last year was a good feeling. It gave me more confidence because I was competitive there, and then doing the weekend in Saudi in really difficult circumstances...
"I didn't prove it to myself because I didn't need to, but I proved to everyone else that I've got what it takes to be an F1 driver in the future
"Of course this is my chance," he said talking about Hulkenberg's move to Audi from 2025. "But just because there is a seat free doesn't mean I'm entitled to it, I still have to go out there and earn it through good performances in F2, but even more, the six FPs I'm doing, I need to perform well and show I am ready for F1 next year."