Both map lights are on the same fuse, so I doubt the fuse is the culprit if the right side works ok. The old driver side bulb could be burnt out, explaining it's non operation. Try reversing the LED bulb in the socket. By this I mean pull it out of the socket, rotate it 180 degrees, and put it back in the socket. LEDs can be installed backwards, and they won't turn on if the polarity is reversed.
Also, check the little leads (the little metal wire things sticking out of the base of the LED) and make sure they're not broken, or sticking off to the side or something.
Hope that helps, and Good Luck!