Do we know if it happened more than once? Did anyone interact with them? Did the mongols write anything about it?
In Jack Weatherford's "Genghis Khan and the making of the modern world'" he mentions that the Hapsburgs captured a Mongol officer. He turned out to be a former Christian and Englishman who'd come into the Mongols service by way of the Holy land. He references Gabriel Ronay's "The Tartar Khan's Englishman".