Yeah, University of Dallas does provide scholarships based on merit. Here are some of them:

Trustee’s Scholarship
Total Worth: $30,000 per year
Eligibility: $30,000 per year
Separate application needed: No

President’s Scholarship
Total Worth: $26,000 per year
Eligibility: $26,000 per year
Separate application needed: No

Provost’s Scholarship
Total Worth: $24,000 per year
Eligibility: $24,000 per year
Separate application needed: No

University of Dallas provides aids at an average of 34091 per student meeting 85% of students need. 100% of students with need receive financial aid at an average of 30746 need-based grant. They also provide other scholarships including Parish Matching Scholarship and DFW Catholic High School Scholarship.