I made a lot of bud grafts from my nottingham variety medlar last year. Most did not take. When they didn't take, I chopped off those branches above the buds. About a week later, the buds grew! This has happened to me before. Normally, I was told to wait until the bud grows first, but that didn't happen this time. Normally, I get a much smaller percentage of take on my budding than on my whip and tongue grafts. Maybe this will improve my take.
In the photo, you may have to open it wider on your screen, but you should see the little green and pink buds coming out of the chopped branches.
When I make bud grafts, I always give them as much time as possible... and THEN, some more. Over the years I've seen seen how much disparity there can be among grafted plants as to when one might see signs of life and active growth. Throughout my life, I've heard my mother's voice: "Patience is a virtue."
There are many things that my dear mother taught me. Another is: "Courtesy costs nothing." ...I have sometimes failed due to impatience. There's the nexus of the two. I try hard to be patient, and I always want to be courteous to others. Sadly, I sometimes fail.
Take your time waiting for new growth on a graft. Depending on the variety, there may be differences in sprouting / emergence by as much as a month or even two.
Rooney, the picture was taken the day of the post. The buds hadn't grown for several weeks, even though the tree was leafing out. I had basically given up, and the chopping was a last resort. It was only when I chopped them that the bud grafted buds grew. They grew about a week after I chopped them. I have had many that I didn't chop and I can't recall one that grew after not budding that long. I may make it my new technique.