Thanks to you both. I consider this question solved, but just in case I can add some information to somebody that looks it up, here's an image:

Paragraph styles in tables I.jpg

Obviously, the words I wanted to apply a style to are "Isaac, Heinrich." Here they are manually formatted; as soon as I applied a Title style to them, the whole row splitted and flew to a new page, leaving the two lines in Italian dangling up there.

As you can see, even in Spanish I hope, in the next paragraphs "keep lines together" is unmarked. The line breaks here are not manual. The text of Heinrich Isaac's piece is, yes, quite long.

So to get what I want, I have to a) unmark "keep with next" in the paragraph style Title and b) run the risk of orphans. (Or, maybe, fiddle with table styles, not paragraph styles.)

You've been very kind, thanks!