Lots of info here:
mountain lion » Wildlife Callers
These guys (website owners) focus almost exclusively on mountain lion, because of the challenge involved. They use e-callers and typically set up 50-100 yds off the speaker. They do a lot of homework & scouting, so they know they are not wasting their time. They use trail cams, etc. Out west, lions seem to like the "hardpan" washes as travel corridors. Only one in three or four set-ups are successful and do not always ensure a shot. A lion's area is so large, that they come through a targeted wash only once every 3-4 days. It is luck of the draw if you are calling when they are coming through. They prefer a .308 for shooting the big cats because they are so tough. I hope to eventually try it myself, but for now - I am focussing on coyotes & fox (climbing the learning curve). Good luck to you.