I saw one I didn't recognize: Originální díly. Looks related to German Teil, but it doesn't look at all like a Germanic language. So I started to think about the connections...
Then it hit me: German Teil comes from the verb teilen, which means “to divide or share”. In at least some Slavic languages, the same concept is expressed by the root del- (e.g., delit' in Russian). So I'm homing in on a Slavic language for díly.
Further musing turns up these words in English and Italian, conceptually similar to sharing, as in "sharing something out", "dividing something up" (by cutting/slicing):
- English tailor
- Italian taglio (noun "a cut")
- Stumble upon another IE root? Check.
- Discovered connections I hadn't thought of before? Check.
- Originální díly? Czech.