Uefa and 54 of the national associations, Azerbaijan being the exception, agreed on a clear direction for Fifa reform as part of the meeting.
Infantino is due to stand for re-election as Fifa president in March, and as yet no confirmed candidate has emerged to challenge him.
Former Tottenham Hotspur defender Ramon Vega says he intends to stand but it is unclear whether he can even garner the five letters of support to get on the ballot paper.
“Institutional reform will not, on its own, be enough,” Uefa said.
“Fifa also needs new leadership: a respected and unifying figure, deeply rooted in football, with the vision and experience to lead, the ability to command confidence across regions and an unequivocal commitment to development, reform, integrity and independence.”
Much of Uefa’s plan centres around institutional governance and removes some of the direct powers of the president, which led to the creation of the Fifa Forward Enterprise proposal behind closed doors.
It also said that presidential or executive interference must be removed from oversight bodies which cover ethics and disciplinary matters.
Uefa added that no Fifa resources should be used for personal or electoral interests, and that at least $10m (£7.5m) of additional funding should be made available to each of the 211 member associations.