The press and drivers slammed the impact of the new refueling ban after the 49-lap Sakhir event, with the Bahrain race staging scarce variation in race strategies and little overtaking.
Heikki Kovalainen is the latest driver to describe the race as boring: "I agree totally, we need to do something about it."
McLaren boss Whitmarsh said after the race that a second pitstop per driver could be mandated to improve the situation, while Bridgestone might also have a role to play as the supplier of tire compounds.
"I think it would be bad if we didn't react," Mercedes GP chief executive Nick Fry told reporters.
He said both sporting and technical changes should be on the table, even though "technical changes are obviously very difficult to make and expensive".
Red Bull's Christian Horner told Reuters that he has "always endorsed" the push to mandate a second pitstop in 2010, which was voted down by majority when initially proposed in the pre-season.