Build a trap, make a magnifying glass, tranq it til it starts running, check torper with glass. Drag a body to it. When it attacks again it will eat body and get healing buff tranq it out. If you knock it with healing buff food will b zero. Have mutton ready to go. Instant tame
An argentavis can't fit through a ceiling with one tile missing, but a pteranadon or lymantria can. Build a trap with one corner ceiling missing, aggro the argentavis, fly in one side and out the missing ceiling tile, and land. Dismount, run around, and close the entry door. Tame safely at your leisure.