For his part, Jean-Marie Le Pen, the former leader of the National Front and the father of Marine, in an interview last March said did not rule out alliances with Golden Dawn after the EU elections.
But while Golden Dawn might be ignored by the continent's more influential right-wing politicians, it has maintained plenty of contact and support among radical fringe parties.
The second round will take place next Sunday, the same date as the EU vote.
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None of Europe's popular far-right parties has backed or sought to make an alliance with Greece's extremists, who are often labelled "neo-fascists" – something the party denies.
Golden Dawn's salutes, symbols and anthems are similar to those of the Third Reich and its supporters have violently enforced its anti-immigrant policies.
In January, Nick Griffin, head of the fascist British National Party (BNP), travelled to Athens to announce his solidarity with his Greek counterparts.
A month later, officials from Svenskarnas parti, "the Party of the Swedes", Sweden's nationalist socialists, also travelled to Athens and participated in a demonstration with Golden Dawn protesting the imprisonment of its party leader, Nikos Mihaloliakos.
The deadly stabbing of a hip hop artist by a Golden Dawn supporter last year triggered the arrest of several of the party's lawmakers and members.
They are now facing a series of charges including murder and extortion.
Vasiliki Georgiadou, a political science professor at Athens Panteion university, believes the continent's leading far-right parties, including France's Front National, are not teaming up with Golden Dawn merely for strategic reasons rather than outright objection to their policies.
Le Pen has been seeking to get Nigel Farage, leader of Britain's eurosceptic UKIP, to join up with her in the next EP.
– arrival and final registration (200 km, 100 km (05 28/29), 10 km (05 28 )) hrs. Completion of the e Xtreme 2 x 100 km march routes: 1.4.1. Civil participants should wear appropriate footwear.