Match in brief
Trailing from the first leg, the home side struggled to muster much attacking threat in the first 45 minutes, the closest they came an opportunistic volley from the returning Pierre-Emerick Aubameyang that clipped the outside of the post. Villarreal lost Samu Chukwueze, who was carried off on a stretcher before the half-hour, but continued to look comfortable as they protected their first-leg advantage.
Nicolas Pépé and Emile Smith Rowe both put chances wide early in the second half and Rob Holding's header flashed past the post as time started to run out. With the Gunners increasingly pushing forward, Aubameyang's header came back off the upright, but that was as close as they came as Villarreal's disciplined defence held out.