Can I have two enterprise emails accounts on my ipad if they both use MDM?

I work for one company, and we contract to another. As such I have two email accounts, two calendars, etc....

Until recently this worked well with everything on my ipad,but recently my company upgraded their security to also use MDM, so when I try to install. The profile it fails since it recognises that the other exists.

I've uninstalled both and started again, and it seems to only allow me to have one.

Thoughts, help?....this is a big backwards step for me.