1. In spite of (something). We've talked about this for hours, but even now, he still has his doubts.
2. Right now. Even now, I'm fretting about the doctor's appointment I left hours ago.
In spite of (something). Even then, after hours of talking about this, he still has his doubts.
See also: even
1 in spite of what has/had happened: I’ve shown him the photographs but even now he won’t believe me. ♢ Even then she would not admit her mistake.
2 (formal) at this or that exact moment: The troops are even now preparing to march into the city.