a doormat: chiefly in the phrase , to give an enthusiastic reception
See welcome mat in American Heritage Dictionary 4
noun
A mat, especially one having the word welcome on it, placed in front of a door to welcome visitors and to allow visitors a place to wipe their feet before entering.
Warm hospitality accorded to a guest in order to provide a comfortable, welcoming atmosphere: The city put out the welcome mat for the new baseball team.