Combining two different multivariate experiments?

Hi everyone!
I have a data set of multivariate data (4 treatments, 3 samples per treatment, 14 variables, the variables are concentrations of different metabolites). I have 2 repetitions of the same experiment, performed in the exact same way. I would like see if the two data sets from the two repetitions could be joined and analyzed as a unique data set. Which test is more appropriate?
When I have univariate data I use an F test to demonstrate non-significant treatment-experiment interactions (p>0.05). Which test could I use in multivariate data?