The phrase "second invitation" refers to being asked or invited for the second time to do something or attend an event, after declining or not accepting the initial invitation. Full definition
We are to imagine a situation in which guests are invited to the banquet, signify their acceptance, and then await a second invitation confirming the first one, perhaps giving the specific time. (religion-online.org)
Picking up the ball in space centrally, Eriksen needed no second invitation and his thunderbolt from 30 yards ripped home off the underside of the crossbar. (tottenhamhotspur.com)
Eriksen clipped in the free - kick, Joel Matip headed it out into the path of Dele who needed no second invitation to drill into the corner on the volley from just inside the box. (tottenhamhotspur.com)