That gun is the BHP Competition.

It was imported for a short time in the 1980s, according to
the book, "The Shooter's Guide To The Browning Hi Power," by
the late Stephen A. Camp.
He said that 6,000 of them were imported and one importer was
Cassi, Inc. "This is one of the most accurate 9mm pistols I've ever
shot." he wrote.

Later, another manufacturer made a clone and said it
was, or would be, imported. I don't know if it ever
actually was. Thought I would buy one if one showed up
at a gun store when I wandered in. Never happened.