For nine successive years in the early 20th century Squire made frequent concert tours of the provinces as a soloist with the contralto singer Clara Butt and her husband, the baritone Kennerley Rumford. During this same period Squire was also associated with the music festivals held at Leeds and Norwich, and Hereford, Worcester and Gloucester (the Three Choirs Festival). He played in trios with William Murdoch (piano) and Albert Sammons (violin) – the "London Chamber Music Players", and Frederick Sewell (piano) and Johannes Wolff (violin).