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

Trustee’s Merit Scholarship
Total Worth: $92,000 to $98,000
Eligibility: $92,000 to $98,000
Minimum Criteria: GPA: A, 32-36 ACT or 1420-1600 SAT
Requirement for maintenance: a 3.0 cumulative GPA
Separate application needed: No

President’s Merit Scholarship
Total Worth: $82,000 to $90,000
Eligibility: $82,000 to $90,000
Minimum Criteria: GPA: A-, 29-36 ACT or 1330-1600 SAT
Requirement for maintenance: a 3.0 cumulative GPA
Separate application needed: No

Dean’s Merit Scholarship
Total Worth: $68,000 to $78,000
Eligibility: $68,000 to $78,000
Minimum Criteria: GPA: B+, 27-29 ACT or 1260-1350
Requirement for maintenance: a 3.0 cumulative GPA,
Separate application needed: No

University of Dayton provides aids at an average of 30372 per student meeting 82% of students need. 100% of students with need receive financial aid at an average of 28208 need-based grant. They also provide other scholarships including U.S. Air Force ROTC and Visual Arts Awards.