Not sure where you are located, North/South hemisphere..?
I have prunus mume seeds which I sowed last winter. They are still germinating, with 2 more plants showing this weekend, although we are halfway through summer here. I intend to just leave them in the seeding tray, and place the lot in the greenhouse when winter hits. The young ones have very little time left (in Northern hemisphere) to become established and build reserves for winter. So in my case, I have the seedling flat in full sun, and it received light fertiliser every week.