Polish immigrant Karol Karol finds himself out of a marriage, a job and a country when his French wife, Dominique, divorces him after six months due to his impotence. Forced to leave France after losing the business they jointly owned, Karol enlists fellow Polish expatriate Mikolah to smuggle him back to their homeland.

Veronique is a beautiful young French woman who aspires to be a renowned singer; Weronika lives in Poland, has a similar career goal and looks identical to Veronique, though the two are not related. The film follows both women as they contend with the ups and downs of their individual lives, with Veronique embarking on an unusual romance with Alexandre Fabbri, a puppeteer who may be able to help her with her existential issues.