When it comes to expressing competitiveness or a desire to stir things up, there are a number of phrases that can get the job done. Some synonyms for "issuing a challenge to" might include "throwing down the gauntlet," "calling someone out," "making a dare," "provoking someone," or "challenging someone to a duel." Other phrases could involve suggesting a contest or competition, such as "proposing a challenge," "inviting one to a match," or "putting one's skills to the test." Whether you're looking to show off your own abilities or simply ignite some healthy rivalry, these phrases can all convey the sense of a challenge being issued.