To take someone in and be hospitable to them, usually against their will. The reverse of overstaying your welcome, when you just want to pop in but then you have to sit down and catch up and everything else.
Dude: I just went to drop the camera off at Ted's but he was home and he made me come in and have a cup of tea and then he talked at me for hours, I couldn't get away.
I am as appreciative as anyone logically would be for friendly attentive staffpeople in an ER or examination/operating room, but I get a bit concerned and suspicious if said employees seem TOO hospitalble, in that it makes me wonder if they are gonna try to "milk the system" by keeping me there longer than necessary, instead of speedily getting me on the road to recovery and then moving on to other patients.
"Quid pro quo" helpfulness/attentiveness, whereby yer host is a real bean-counter when it comes to wanting to be equivalently reimbursed for each and every fiddly little inconvenience or effort dat he has to endure on yer behalf.
Red Green recommends dat you actively/consciously avoid getting obligated to any of your macho buddies by partaking of favors or assistance from them dat they would view as "hospitallyty", and then try to guilt-trip YOU into doing an at-least-equal favor for THEM in return.