In 2014, the Swiss voted in a referendum to introduce quotas on EU migrants, due to come into effect in 2017, which sparked criticism from the European Union.
"Cooperation with the EU will also be more complicated as the right wing wants a consequent implementation of the referendum on mass immigration," Darbellay said.
The politician added that Switzerland valued cooperation with the European Union but did not want to be part of the bloc.
Swiss voters went to the polls in parliamentary elections on Sunday, conscious of the deep refugee crisis unraveling in the European Union. Even though Switzerland is not an EU member state and does not bear the major brunt of the refugee crisis, some 12,000 people sought asylum in the country in the first half of 2015.
The general public’s growing fear of foreigners shaped the results of Sunday’s elections in Switzerland, as the Swiss People’s Party gained the support of 29.4 percent of the vote.
The Social Democratic Party finished second with 18.8 percent of the vote, followed by the center-right Free Democratic Party with 16.4 percent of the vote. The Christian Democratic People’s Party came fourth, finishing on 12.1 percent of the vote.