Can't download my two apps at the same time

I recently published my second app in the Play Store and I can only download it if I don’t have already installed my previous app and viceversa. I can’t download my first app if I have not uninstalled the second one.

The only thing I can think of is that maybe I set the same package name for both, but it isn’t the case. Any other ideas?

Do you get an error? Google shouldn’t allow you to upload the same package name for two apps. What if you install the apk’s via adb locally? That will tell you if they are the same package name.