Raspberries (sieved to a smooth coulis)
With care — Allowed by some hospitals and not others, or allowed only prepared a particular way.
In one line: Blend it, then push it through a fine sieve and discard every seed. Use the smooth purée only, never the whole fruit.

A raspberry is essentially seeds held together by juice. The seeds are spread right through the fruit rather than gathered in a core you could cut out, which is why berries are on the avoid list of the leaflet this book follows and of every other list compared for it. There is no way to eat a whole raspberry without eating the seeds.
The preparation
Blend the fruit with a little sugar, then push it through a fine sieve, pressing hard with the back of a ladle and scraping the underside of the mesh. What comes through is smooth purée. What stays behind is a dry cap of seeds and skin, and it goes in the bin rather than back in the bowl. See sieving.
A blender alone is not enough. It chops seeds into smaller seeds.
Where hospitals differ
The leaflet this book follows allows smooth fruit juice with no bits, and a properly sieved coulis is much closer to that than to a bowl of fruit. That is a reading, not a ruling. Some hospitals would say leave berries out in every form, and if that is what you have been told, it stands.
If you have been told to leave them out
Stewed apple, a warmed tinned peach or a tinned pear will go anywhere a coulis goes, over ice cream or through a fool. See berries and sieved fruit.