Within the UN, the party has carried out high-profile battles on several issues: the moratorium on the death penalty and the proposal of his complete abolition, anti-prohibition against global mafias, fair justice, freedom of scientific research and the ban on female genital mutilation. Additionally, the TRP has allowed access to UN meetings to some stateless people, including Tibetans, Uyghurs and Montagnards., and led active monitoring of the conflicts against despotic regimes, such as the case of Ukraine versus Russia, or gave voice to dissidents opposed to authoritarian regimes like Cuba and Turkey. For its proposal of a peace plan in the Chechen–Russian conflict, the party has collided with Russia and its members risked expulsion from the country.