Sepp Blatter has told Fifa delegates ahead of the presidential election, "We don't need revolutions, we need evolutions."
Prince Ali Bin al Hussein has told delegates ahead of the vote for the next Fifa president, "Listen to your conscience and listen to your hearts."
Prince Ali also promised to make finances "accountable" and provide more transparency.
"I will not hide when things are bad and come forward when things are good," he added.
Fifa presidential candidate Prince Ali Bin al Hussein has said today's election is a chance for a fresh start to win back trust.
"The eyes of the world are upon us, and not for the first time, and this time everything is at stake," Prince Ali said.
"No blame can be passed that washes away the stain that marks us all."
Fifa presidential candidate Prince Ali Bin al Hussein has told delegates, "We stand here today at a crossroads for football."
"Change is not an event, it is a process," he said. "Today is about taking the first step towards the process of change".
"Today is about honouring the trust that is in each and everyone of us," Prince Ali said as he addressed the crowd ahead of the presidential vote.
"I would be proud to take responsibility for fixing our governing body."
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The seven senior Fifa officials arrested in Zurich could be extradited within a matter of months, Swiss legal experts said.
All the men, from the Latin American and Caribbean region, are contesting extradition to face corruption charges.
But Zurich-based lawyer Peter Cosandey told Reuters: "From the time of arrest to the final enforceable decision, it would easily take two months [for extradition], a few months, if there are not too many complex legal issues. Not years."
Palestine has withdrawn its bid to have Israel suspended from Fifa, the football organisation congress heard today.