Thank you all for your advice. And sorry for my late follow up. I've been really busy trying to sort things out around here. Seems like both of my birds were females. I separated them after their first night together as, apart from the screaming, they weren't getting along at all. The first one (Kiwi) was getting territorial and wouldn't even allow the second (Mango) to eat or drink. Actually, it was Kiwi who made all the noise and her "voice" was incredibly pitch. I didn't want them to start fighting so I separated them. And I had to find Kiwi a new home

I hope that her new mommy will take good care of her. I couldn't keep them both as Kiwi was way to loud to keep in an apartment. Now Mango seems pretty happy to be the only one in the cage. She even had a flying trip in the living room (she got out when I was cleaning the cage). She doesn't make noise in the morning (I put her some Lovebirds food in the feeder before I cover the cage for the night, so that she finds it in the morning) and it seems like we're gonna be good friends

. I'm not an early riser, so I appreciate I a lot her behaviour

She still screams when I put my hand in the cage and gets a little jumpy around my mum (she's the one who got her hand in to catch Kiwi when we separated them and I guess she's still a bit frightened) but I am hopeful that she will very soon eat from my hand.