"For the moment, I am forced to stay in Brussels... I stayed here given the difficulties in my country, difficulties which are due to the illegal third mandate of the President of the Republic," Pie Ntavyohanyuma told France 24 news channel in an interview from Brussels.
"On the eve of the election ... I would like to say to him (President Pierre Nkurunziza) that the mandate he wants to have is illegal. I would like to say to him that forcing through the election is senseless," added Ntavyohanyuma, Burundi's parliamentary speaker.
"He could give up and ... Organise inclusive elections which could reconcile all Burundans who have been exiled to return to Burundi," he said.
He called on Nkurunziza to perform a "positive u-turn."
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UN Secretary General Ban Ki-moon has called for Monday's polls to be scrapped after the opposition said it would not take part, as Burundi faces its worst crisis since its civil war ended nine years ago.
Ntavyohanyuma rejected claims that the demonstrators had fomented the violence, saying: "Those who organised the protests told their supporters to march in peace, which was largely respected."
The opposition has said it will boycott the polls, claiming it is not possible to hold a fair vote with more than 127,000 people having fled into neighbouring countries for fear of further violence.
Parliamentary and local elections are set to be held on Monday, ahead of a presidential vote on July 15.
"The President of the Republic should do a u-turn. The president is someone who has fought for Burundi to be a state of law.
"And we want to ask him to do a u-turn so that, after a few years in power, he does not institute a power that does not respect the law, a power that does not respect the constitution and the founding texts of the Republic," concluded the speaker.