Update:

Car mechanic calls and said car started right up with no problems... They did not perform any diagnosis since the problem solved itself.

This further supports my claim that it is cold weather related. In Cleveland, it is 46 degrees F today. The starting problems occurred when it was in the tens or single digits.

Is it safe to assume, the issues is not fuel related then? I will look into the relays in the ebox and to determine the module part number. I guess when it gets cold in a couple days I can try banging on it to see if that solves the issue or try to get some heat in there haha.

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2005 BMW X5 3.0i
2013 BMW M3 Competition