The Soliloquy 5.3's do not like tubes in the power department.
My experience would entirely contradict that statement. I've owned 5.3i's and have helped two friend's build systems around them. They're great speakers for the money and it's a shame they went out of business. If you wanted to stick with Jolida two of the friends who have had them used Jolida 502B amps and I thought that combination was very good. Another excellent choice I've heard extensively is with the Unison Unico hybrid integrated. I used mine with separates. The best combination I found with them was with Quicksilver Mini-mites and in a small room with Wright Mono 10's (they sounded astoundingly good with those amps - but I would not try that combo in a larger room where you may need more power).
PS The friend I sold my 5.3i's to had a Jolida 1501RC that he brought to my house to try them out with. I did not like that combination at all. I found it rather harsh and unrefined (in my room with the rest of my system and starting out from dead cold). I later heard the combo in his house with the amp a bit warmer and with more space around the speakers. Though it sounded better there, I'd still strongly point to the recommendations above for a big improvement in what I heard of that combination.