Price beat Ross Smith 16-12, while Van Veen overcame James Wade 16-13.
The winning duo will face off in the semi-finals on Saturday night.
More to follow...
Price and Van Veen claim victories to set up World Matchplay semi-final clash
Wales' Gerwyn Price and Dutchman Gian van Veen have progressed to the semi-finals of the World Matchplay in Blackpool.