The key question is: do you have an onward flight in business from MUC? If not, I don't believe you'll have access.

The Star Alliance website specifies departing an airport for access, and on a recent trip OSL-MUC in business we were denied access in MUC.

http://www.staralliance.com/en/benef...access-policy/

Lufthansa policy (use matrix to find intersection of "Lufthansa Business Lounge" and "Lufthansa/Star Alliance Business Class Ticket" also specifies departing.

http://www.lufthansa.com/us/en/Lounge-types-and-access

On a brighter note, if the weather is nice, the outdoor courtyard at MUC is nice- shaded/covered but open-air.