The Genk keeper Köteles made a couple of good saves at the other end from a Fabian Frei shot and a Schär header.
The second half saw the visitors start strongest. Streller had a great chance to put Basel ahead 15 minutes in. However, his effort hit the bar.
The match ended goalless and both teams seemed happy to share the points.
An unbeaten Racing Genk finishes top of Group G with 11 points from 6 games.
Club fails to impress in Madeira
Club Brugge has finished bottom of Group D after yet another defeat in Europe on Thursday evening.
This time it was the team from the Portuguese island of Madeira, Maritimo Funchal that got the better of the West Flemings
Maritimo open the scoring on 18 minutes through an Abreu Goncalo header.
In the second half an incident of hand ball inside the box saw Club Brugge being awarded a penalty that was converted by Rafaelov five minutes from time.
However, Club Brugge’s joy was short-lived and Maritimo took the lead again just a minute later. The match ended 2-1 to the Portuguese.