NPR News: 05-13-2026 7PM EDT

President Trump this week dismissed Iran's latest ceasefire proposal as unacceptable, putting talks on "life support," while domestic headlines included partisan fights over gas prices tied to the Iran conflict, budget cuts, agency leadership changes, a Medicare provider pause, a major medical renaming, and a bizarre museum ticket mix-up.

Iran Ceasefire Stalls on New Demands

President Trump rejected Iran's recent proposal to end the ongoing war, with neither side disclosing full details publicly. NPR's A. Betrami reported that Iran's updated demands go beyond prior terms and include an immediate end to Israel's campaign against Iran-backed Hezbollah in southern Lebanon—where Israel now controls much territory and daily casualties continue. Iran also seeks war reparations from involved parties and a complete lifting of the U.S. naval blockade in the region, which has restricted its oil exports. These escalations highlight how the conflict has hardened positions, complicating any path to de-escalation amid ongoing military actions.