Across Europe however, according to a projection prepared by the parliament, the center-right European People's Party (EPP) is on course to have the most seats in the assembly with 173, down sharply from 216 in 2014.
On the far-right, two groups in the current parliament had a combined 113 seats, a 50 per cent gain from 2014.
But the picture is far from uniform: in Austria the far-right Freedom Party was lagging in third after becoming engulfed in corruption scandal during the campaign.
In Germany, preelection polls put Chancellor Angela Merkel's Christian Democrats in first place, followed by the Greens.
It remains to be seen where all this leaves EPP's lead candidate for the European Union commission presidency, Manfred Weber, who hoped to forge an alliance with centrist parties to clinch the top job.
"This [coalition] is not their [EPP] monopoly, we need a new alliance", Bullman said, whose group is expected to have 152 MEPs in parliament.
Meanwhile the Czech Republic's most ardent anti-EU group, the Freedom and Direct Democracy party, is predicted to capture its first seats in the European Union legislature. And she called for new elections in France.
Top politicians, including President Milos Zeman and Prime Minister Andrej Babis were among the first voters.
The migration issue, and how people respond to it, would reshape the political spectrum in the European Union in the vote, he said, and traditional party groupings would not play the same role in the future.
Britain, Ireland and the Netherlands have already voted, and the Czech Republic started voting Friday and continues Saturday. Its EU lawmakers would lose their jobs as soon as Brexit happens.
Europe has been roiled in the past few years by immigration from the Mideast and Africa and deadly attacks by Islamic extremists.
Those parties hope to emulate what President Donald Trump did in the 2016 USA election and what Brexiteers achieved in the United Kingdom: to disrupt what they see as an out-of-touch elite and gain power by warning about migrants massing at Europe's borders ready to rob the continent of its jobs and culture.
The centre-right European People's Party (EPP), which has dominated EU politics for the last decade - now giving all the presidents of the three main EU institutions - has performed badly.
Elsewhere, the Socialists won the largest share of seats in Spain, while the Salvini-led far-right League became Italy's largest European representatives, predicted to claim up to 31 per cent of the vote.
Environmentalist parties performed strongly, reflecting how the issue of climate change has leaped up the agenda as young activists take up the cause. The leaders meet for a summit over dinner Tuesday.
He wrote: "It is a disgrace that in addition to the uncertainties that EU citizens have had to endure over the last nearly three years since the EU referendum, some have been denied their right to vote in the European Parliament election".
A general view of the Plenary Hall during the election night for European elections at the European Parliament in Brussels, Belgium, May 27, 2019.
Among the candidates standing in the latter is former SDLP leader Mark Durkan who is one of two Fine Gael candidates contesting the Dublin constituency.
Support for the Greens is more notable in the European elections.
Far-right parties led by Italy's firebrand interior minister and codeputy Prime Minister Matteo Salvini are projected to win 74 seats, 38 more than in the last legislature.