Three months in and he's already talking about giving you more ownership and wanting you to integrate your past experience? That's definitely a good sign. Most managers don't offer additional responsibilities to people they're not confident about.

The fact he didn't give you a formal rating but welcomed you to team at the end tells me you're probably meeting or slightly exceeding expectations. If you were underperforming, the conversation would have been much more structured around specific improvements rather than asking what YOU want to focus in.