You left out a bit. If we take Wikipedia's definition (I know, I know):
> The second law of thermodynamics states that the total entropy of an isolated system always increases over time, or remains constant in ideal cases where the system is in a steady state or undergoing a reversible process.
As far as is currently known the laws of physics are time-reversible, which (ISTM, at least) would imply that the latter clause could very easily apply to the universe as a whole.
(There's also the issue of whether the universe itself is a closed system.)
And yes the definition of "universe" is something I define as "a closed system that doesn't interact with other systems", which is also a consistent definition even if the multiverse theory is correct. If two things interact then they are by definition in the same universe.