Thank you, Fred!
Would confirm only the tray is Libochovice.
No exact match found in the pattern books available here for that vase, I'm afraid. Libochovice's 2101 has got just one vertical row of diamonds and the feet are different. Also Rindskopf's catalogue of 1936 and Stölzle show similar designs. The closest match in my opinion is Stölzle Hermanova before 1958, page 16 - lidded container # 19757. There are several items in this pattern, and possibly Hermanova also produced a vase with that distinctive upper rim.