Hi chipmonkey
We were in a similar position, DD born at 31 weeks. I expressed for her and she was tube fed then bottle fed. My hospital don't have a weight requirement for babies to come home so their big priority was getting her taking her feeds from a bottle and retaining her own body temperature (ie out of the heated cot). I also felt that they were more fussed about getting us out the door than on getting DD breastfeeding.
I'm not sure about kilos but when DD came home she was 4lb 4oz and had been tube out, bottle fed EBM for 48 hours.
I knew I was producing enough milk for her as I was expressing more than her bottle feeds, but she just wasn't interested in feeding from me.
I don't know how much of it was just luck that DD seemed to suddenly click on to how to feed from me, but what I did was this:
1 EBM in bottle was at room temperature, so not as warm as it would have been straight from my boob.
2 I bottle fed her with her sitting on the edge of my knees facing me, so not in the cuddly breastfeeding position.
3 I moved her from the hospital bottles, which kind of dripped the milk into her mouth without her making any effort, onto tommee tippee closer to nature bottles. These made her open her mouth (the hospital ones could basically be crammed into a half closed mouth, but her mouth had to be wide for the tt bottles). And if you believe the marketing hype, the way babies feed from the tt bottle is similar to BFing.
I didn't offer her the boob at every feed as I just found it so disheartening when she would just stare closed mouth and bemused at my boob. In truth I probably went some days without offering her at all because I found the whole expressing rigmarole so depressing and I just hated the feeling of her refusing to feed.
Anyway, one day when she'd been home for about a fortnight and was the equivalent of about 37 weeks I offered her my breast and she just latched on and she didn't look back. We had health visitors coming out twice a week to weigh her so I decided to be brave and just immediately ditched the bottles, didn't offer her another bottle once she'd taken a feed from ms. I just felt that I knew I had enough milk for her, and that with her frequent weighing if she wasn't getting enough it would be picked up on quickly.
I still had to keep expressing for a while due to the fact I had previously been expressing more than she took but that calmed down within about a fortnight.
DD latching on seemed to coincide with her generally waking up and seeming much less sleepy prem and more just a normal newborn. She did quite quickly lose her hospital routine because once she'd discovered the wonders of mummy's boob she wanted it all the time! But again that may have been all part of her reaching term.
Sorry that was an epic post. If I've missed anything off feel free to ask. It us possible and lots of people have done it but at the same point, if you find you do struggle try not to beat yourself up. Come back on here for advice and support however it seems to be going 