Still, analysts said populist parties were impacting governmental policy and that this was likely to continue for a while.
"Our longstanding view has been that non-mainstream parties such as UKIP and the National Front (in France) would influence the political debate and increase the trend of political fragmentation… resulting in weaker governments overall, but without winning power," Tina Fordham, chief political analyst at Citi, told CNBC.
That fragmentation is something that is likely to be seen in Spain's general election later this year, said Nicholas Spiro, managing director at Spiro Sovereign Strategy.
He said Spain's two big political parties – the conservative People's party and the Socialist Party – would face stiff competition from populist parties Podemos and Ciudadanos.
"We are likely to see a deeply fragmented parliament in Spain after the elections," Spiro told CNBC. "A Rubicon will be crossed in Spain, which has been dominated by two parties for decades."
Meanwhile, UKIP leader, Nigel Farage, seemed unperturbed by failing to gain a seat in last week's election. Having resigned as party leader on his defeat in the constituency of South Thanet, he was reinstated on Monday after UKIP refused to accept his abdication.