What is the most accurate translation of "dream" (to dream) to the Greek language?

In Modern Greek : 

- to see imaginary events while sleeping: ονειρεύομαι ("oneirévomai")

- to hope, to wish: ονειρεύομαι ("oneirévomai")

- to daydream: ονειροπόλημα ("oneiropólima")

- to create an imaginary experience: οπτασιάζομαι ("optasiázomai"), φαντάζομαι ("fantázomai"), ονειρεύομαι ("oneirévomai")

You mean "in" Modern Greek?  There are no infinitives in Greek.  Dictionary entries are in the first person singular form, in this case:  ονειρεύομαι -- oniréhvomeh

Given the ambiguousness possible in English, is it 'to dream' as in having visions during sleep, or is it, for instance, 'to dream of having a better life' whilst being awake?