They will hear from European Commission chief Jean-Claude Juncker, who warned recently that it would be a "miracle" if the talks could progress in October, led by EU Brexit negotiator Michel Barnier.
"If the outcome of the negotiation falls short of the deal that Britain needs, we will be ready for the alternative", he said.
The comments came after British Foreign Minister Boris Johnson, a key supporter of Brexit, had made comments on Britain's exit from the bloc that were contrary to those by British Prime Minister Theresa May.
Lawmakers voted by 557 in favor with 92 against and 29 abstentions.
The Parliament does not have an active role in negotiations and its vote today is not binding.More news: TransCanada Cancels Energy East Oilsands Pipeline
Manfred Weber MEP, the chair of the European People's Party Group said: "Theresa May please don't put your party first". Brussels considers that this should be a figure of at least €60 billion, whilst the British media has mentioned a figure of €45 billion which Britain is prepared to pay, a figure refuted by the British government.
Britain seems to pick and choose those European Union nationals who are wanted and in great demand to service its national needs.
Howard Quayle held a meeting with David Davis while attending the Conservative Party Conference in Manchester this week.
"Let's find an agreement on the financial settlement, even if it's not down to the exact euro, and then we can launch the next stages", he said.
Mr. Fox said discussions on trade with the U.S., Australia and New Zealand have already begun, and delighted the party rank-and-file by saying those "naysayers" who predicted last year's Brexit vote would be followed by economic turmoil "got it wrong".More news: Clashes As 'Rebels' Storm Indian Base In Kashmir
Similar positions were expressed by the Socialists and Democrats, with Gianni Pittela recognizing some progress after May's speech in Florence, on September 22.
According to the resolution, it is vital that the commitments undertaken by May in her Florence speech "translate into tangible changes to the United Kingdom's position and into concrete proposals accordingly, so as to speed up working during the first phase of the negotiations and to make it possible that, in a second phase on a basis of mutual trust and honest cooperation, talks can start on a new and close partnership in the framework of an association of the United kingdom with the European Union".
The UK Prime Minister, Theresa May, gave her much heralded speech on Brexit in Florence on 22nd September seting a conciliatory tone which was clearly created to break the deadlock in the negotiations with the EU.
Lawmakers held a nonbinding vote in Brussels which ruled against negotiations between the United Kingdom and European Union proceeding on to the subject of the future trading relationship due to "insufficient progress" with efforts by negotiators to extract a "divorce bill" from London.
"The taxpayers of the 27 don't have to pay for the consequences of the decision that they didn't take", said Mr Barnier to rapturous applause.More news: New Range Rover Sport SVR And Plug-In Hybrid Option Unveiled