Squire also performed quartets with other members of the Queen's Hall Orchestra in the Queen's Small Hall. It was in 1898, while at the Queen's Hall, that Fauré, impressed with Squire's mastery of French music dedicated his "Sicilienne" Op. 78 for cello and piano to him. Squire also played in the London Symphony Orchestra. In 1899 he performed the Schubert Quintet in an ensemble led by the violinist Joseph Joachim. Squire played at several other London venues including the London Ballad Concerts which were held at the Royal Albert Hall, Hampstead Popular Concerts, the National Sunday League Concerts held at the London Palladium and at the Aeolian Hall.