The evidence confirms that Stéphane Dujarric is the UN spokesperson and that he has made statements regarding conflict resolution (e.g., the two-state solution for Israel-Palestine, or calls for dialogue in Sudan). However, none of the provided evidence explicitly quotes or confirms the specific statement that 'the United Nations believes that negotiations are the best way to solve any conflicts' as a general UN belief attributed to him. The evidence is insufficient to corroborate this general statement across multiple independent sources.

Similar to Claim 0, the evidence shows Dujarric has spoken about negotiations being key to resolving specific conflicts (like Israel-Palestine or Sudan). However, the evidence does not contain multiple independent reports confirming the general statement: 'The UN always feels the best way to resolve any conflict is through negotiations,' particularly in response to a 'US leader's statement.' The evidence is insufficient to corroborate this specific, generalized claim.