Does Bami's Cinder and Liandry's work together as an invisible Teemo?

according to http://leagueoflegends.wikia.com/wiki/Liandry's_Torment

only works on spell damage ... you may wanna guess what damage is classified as?

or more clear .. look here http://leagueoflegends.wikia.com/wiki/Sunfire_Cape it is specially stated, that sunfire doesn't proc

No. Liandy's only works with champion abilities/spells. No interaction with items.

I think it has to be on spell damage caused by the champion, not their items. That would be somewhat ridiculous.