2 SSL web server certificates signed with single private key

Hello,
we are implementing collaboration application with external access via internet. For this we need 2 web server certificates but signed using single private key. Because I already have 2 certificates from our local CA, but each other with another private key the application is not working.

I need to test it before purchase. Did anyone solve similar problem?

Thanks in advance

Lukas

It’s possible to do but it is not considered good key hygiene to re-use keys as it reduces the integrity of the private key.