Dear Arslan,
As you say, one way is to use UQLink (Examples, User Manual) to connect your model to UQLab.
Another way could be to use UQ[py]Lab (website).
Good luck! And let us know how you chose to solve your problem 
In case you use UQLink, feel free to share your code here so that other users can see an example how to connect python models to matlab-based UQLab.