When she signed with the GRP label, digital technology was becoming available and she had veteran producer Dave Grusin supervising her first three albums; the recordings also benefited from the cachet brought by Stan Getz performing on them. Her first album under this label, "Deedles", met with moderate but significant success, reaching number 35 on the Billboard jazz charts. It was her first record to be released internationally. Following this, "Schuur Thing" was released in 1985, featuring guest artist José Feliciano, and reached number ten on the Billboard jazz charts . In that same year, a big break came for Schuur when she was invited to perform on the 28th Annual Grammy Awards Show, broadcast on the CBS Network.