All draws held at the European Handball Federation headquarters in Vienna, Austria.
Round
Draw date
First leg
Second leg
Round 2
22 July 2014
18–19 October 2014
25–26 October 2014
Round 3
15–16 November 2014
22–23 November 2014
Last 16
25 November 2014
7–8 February 2015
14–15 February 2015
Quarter-final
17 February 2015
7–8 March 2015
14–15 March 2015
Semi-finals
4–5 April 2015
11–12 April 2015
Finals
14 April 2015
2–3 May 2015
9–10 May 2015
Qualification stage
Round 2
Teams listed first played the first leg at home. Some teams agreed to play both matches in the same venue. Bolded teams qualified into the third round.