You're experience isn't unusual. California poppys (Eschscholzia californica) are, of course, annuals and supposedly reseed themselves. Here in the western U.S., we find that they will reseed but only after a season or two where they've become established. Getting that to happen can be a chore.
If you do get any blooms, try scarifying the soil underneath a few of them. This, according to a neighbor that raises them, can help the small seeds reproduce the next season.
Additionally, your curse may be a blessing in disguise... in that they can become nearly unmanageable and reproduce everywhere. Nice flowers though for a short lived bloom.