Boyfriends ex keeps texting him and sent him gifts

**sorry for the long post**

Me and my oh got together a couple months back but we've been friends for a while, he recently broke up with his ex before we got together and at first his ex would message him constantly so he decided he wasn't going to answer her. Just to clarify he wanted to stay friends but couldn't handle all the messages at the time. I ended up telling him I wasnt comfortable with them being friends but I wasn't going to stop him and told him I didn't want to know that she messaged him because it set off my anxiety too much. Fast forwarding to a week or two ago I find out that he messaged her back maybe a week or two after we got together and has been messaging her since (not as often as she's been messaging him). I told him that I feel like she may want to get back together with him but he believes she's given up on that idea. Well today he phoned me and told me she'd sent him a gifts and it's made me feel uncomfortable but I really don't want to say anything to him. At this point I feel like she does want to get back with him but I keep telling myself I'm just being silly. It's something I don't want to be worried about but I am and I'm not quite sure what to do