Here are several more options that are perfect for your stated needs.
Cafe Ba-Ba-Reeba is a longtime tapas restaurant on Halsted. They open at 4 pm Mondays through Thursdays and are open all afternoon Fridays and weekends. The noise level is conversation-friendly - the layout is a bunch of small rooms - especially if you're there before the dinnertime peak.
Fish Bar and
DMK Burger Bar are sister restaurants, around the corner from each other at Wellington and Sheffield. Both are open all afternoon every day. Again, the noise level is conversation-friendly, especially if you're there before the dinnertime peak.
All three have excellent food if you're hungry, or you can just order drinks if you want. Good places to sit and relax and converse.