The closed-door meeting at FIFA headquarters helps prepare for an executive committee session on Monday, called at short notice to set a date for the presidential election to replace Blatter.
Platini, the UEFA president and former France great, is currently favored to win a ballot that requires a four-month campaign by FIFA election rules.
When the presidents' group met on May 28, one day after senior FIFA officials were arrested in Zurich, Platini urged his mentor turned adversary to resign.
Within days on June 2 he promised to leave office, under pressure from American and Swiss federal investigations of corruption implicating FIFA.
Also Read
The presidents' group includes: Issa Hayatou of Africa, Asia's Sheikh Salman Bin Ebrahim Al Khalifa, CONCACAF interim leader Alfredo Hawit, Juan Angel Napout of CONMEBOL, and Oceania's David Chung.
Hawit was appointed in May by the regional body for North and Central America and the Caribbean after FIFA vice president Jeffrey Webb was one of the seven men arrested in Zurich and among 14 indicted by the U.S. Department of Justice for an alleged bribery racketeering conspiracy.
Napout of Paraguay was elected to lead the South American body in March and formally became a FIFA vice president on May 29. He replaced Eugenio Figueredo of Uruguay who remains in detention in the Zurich area.