7m and not eating solids or putting on weight

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My DD is 7m old now. I started offering food at about 6m, and although she seems kind of interested in plying with it, she doesn't seem to want to eat. I've tried purée (home made and pouches), and finger foods. Most success is with finger foods, and there is evidence of some being swallowed as it's coming through in nappies.
However, if I had to list what she eats in a day it probably wouldn't fill a tablespoon- for the whole day.

HV has suggested she's having too much breastmilk overnight and is just not hungry. She's not put on any weight in the last month (8kg, dropped from 75th to 50th percentiles). If I reduce breastmilk to force interest in food am I going to cause the weight problem to get worse? I thought breastmilk was the "most nutritionally dense food she could have? Is a bit of broccoli in the day really going to get her putting weight on?

My hv warned me NOT to wean early as veg etc isn't fatty enough for slow growing infants (mine is a slow grower). To keep to bm and/or formula till 6 months then not cut it back too fast.

I would get a 2nd opinion if I were you - milk is definitely fatter than veg!

I'm not sure I'd be that worried. My dd didn't really "get" food until she was approaching 12 months. I did much the same as you - mix of purées and finger food. I was always a bit surprised that some made it through as evidenced in nappies. I'd agree with your view on not dropping feeds - she'll let you know when she wants to do that. Sometimes HV advice baffles me. Keep doing what you're doing - a variety of finger food, tastes of your food (always more appealing in my experience!) and over time, it will just click. My girl is now 20 months old and eats everything. So do her peers - the problem now is getting them to stop!

We were advised to wean early due to poor weight gain - HV didn't seem able to explain how a bit of carrot purée was going to bulk him up! Having said that my DS has taken to food very quickly and is eating in addition to normal milk feeds, so it does seem to be working for us. But in your case I would agree with keeping on with milk feeds rather than forcing interest in solid food.

I'd take the hv advice with a pinch of salt. Breast milk is better than almost any other food for weight gain. If she prefers finger food why not just offer her more of that. If you pick fatty stuff like avocado, toast, chicken etc you may find she's more interested. We do baby led weaning and my daughter happily scoffs bolognaise, crumpets, roast chicken at 6.5 months. Even so I still bf on demand.