What was the reaction throughout Central and Western Europe, to the mongol invasion? And to the fact that the mongols conquered parts of the Levant and Eastern Europe?

by Alexandru1408

Did the kingdoms and empires of Central and Western Europe (try to) placate the mongols, so they won't invade them? Did they fear that the mongols will continue to conquest further west and that they might conquer large portions of Central and Western Europe? And did they plan a (possible) campaign to fight the mongols and liberate the territories under their rule?