How to get a profile of consistent cd-hit clusters across different sequence files?

I have 10 different nucleotide sequence fasta files. I would like to run cd-hit on them and get a cluster abundance profile. If I run the fasta files on cd-hit separately, the clusters will not be comparable across the clusters of other files.

What is the best method to get consistent clusters of nucleotide sequence across several files in order to create an abundance profile?