In 1988, Grażyna moved to the United States, where she has performed with Michał Urbaniak and Urszula Dudziak, and many other leading jazz musicians, including Jim Hall, Michael Brecker, Randy Brecker, John Medeski, Patricia Barber, Paul Wertico, Bobby Enriquez, Terry Callier, John McLean, Kurt Rosenwinkel and Robert Irving III.
Discs were promoted during concerts in Poland and abroad – inter alias a concert tour with jazz vocalists Urszula Dudziak and Grazyna Auguscik and polish famous musician Tytus Wojnowicz.