The congress passed the resolution, asking Blatter together with European counterpart Michel Platini to "continue to explore for Europe... all possible means within the limits of the law to ensure that these crucial sporting objectives be achieved".
However the European Union says the "6+5" rule would contravene its free movement of workers rules.
"Where there is a will, there is a way. And we will try with consultation and consultation and not confrontation," Blatter told the congress.
"I fully share the philosophy and objectives of the rule."
Michel Platini,
Uefa president |
Michel Platini, president of European soccer body Uefa, told the congress that he fully supported the philosophy of Blatter's rule and agreed with its principles.
"It is a thorny issue. Europe is not [in] a comfortable position but we will do all we can to help the Fifa president reach this objective," Platini told the 200 assembled members.
"[The rule] is considered illegal by the European Union. Within the football family we don't all agree. Some of the leagues were against, some in favour, clubs generally against.
"[If the rule as it stands were implemented] then we as Uefa would find ourselves in a difficult place and could find ourselves in court.
"I fully share the philosophy and objectives of the rule. We are in full agreement when it comes to the general idea."
England example
Franz Beckenbauer, chairman of Fifa's Football Committee, fully backed the quota proposals.
"England, perhaps it is unfair but that's the way it is, is the best known example [of foreign players dominating teams]," the German told congress.
"We need some consultation with the government authorities, especially in Europe... "
Sepp Blatter |
"Three English teams in the semi-finals [of the Uefa Champions League], Manchester United and Chelsea in the final, an extraordinary match.
"But then after the match everyone regretted a single fact. That England will not be represented at the Euro [2008 European Championships].
"There is a reason for that," Beckenbauer said, alluding to the glut of foreign players at English clubs.
"This is the case in other countries too. We have clubs in Germany where there are no German players on the field. That is not in the interest of football and its future."
Blatter stressed that it was not his intention to confront lawmakers.
"To go forward, we would say that it is the result that six players eligible to play for the national team of the country should be on the field of play at the beginning.
"It means that with the substitutions you could have 3+8 at the end.
"We need some consultation with the government authorities, especially in Europe, but we would propose to start a "4+7" in 2010, "5+6" in 2011 and we would be ready to apply "6+5" in 2012."