The album was hastily made, and received negative reactions from critics. Difford and Tilbrook have both since denounced Domino as a weak effort, marred by time constraints and increasing friction between the two songwriters. Following a 1999 tour during which Difford failed to show up for a single show (he blamed troubles with alcoholism and an increasing hatred of touring), Squeeze decided to call it quits. The album did not appear in the UK Albums Chart; their first to fail to do so.
The band's dislike of the album was highlighted when, after reforming in 2007, no tracks from Domino were performed during the band's UK and US tours until 2012 when "Without You Here" was played. The only other Squeeze album that did not feature at all in the post-2007 tours was Play, until 'The Truth' from that album was played during their 2015 UK tour.