The US government miscalculated the negotiations just as it had its military strategy, the channel reported, citing a source.
The location of the next round of talks between the US and Iran has not yet been determined, the TV channel added, citing an Iranian source.
Iran and the US had talks in Islamabad on Saturday after US President Donald Trump had announced an agreement with Tehran on a two-week ceasefire on Wednesday night.
On Sunday morning, the head of the American delegation, Vice President J.D. Vance, announced that Iran and the United States had failed to reach an agreement during lengthy negotiations and that the US delegation would return home without a deal.