Does Mudita Pure Show Missed Calls and Support Voice Messages?

As with practically any other phone, the Mudita Pure will show missed calls if you're unable to pick up. You can then call back later.

Voicemail Available With Carriers

Although the Pure doesn't have a built-in voice messaging feature, you should be able to set that up with your carrier. You should then get a message when you have voice mail and be able to access it by calling a specific phone number determined by your service provider.