Most of Squire's solo instrumental pieces were written for the cello – an exception being "Calma de Mare" which was written for the mandolin. All known solo cello pieces written by Squire are listed below. Many of these were also arranged for other instrumental combinations, for example "L'Adieu" was arranged for cello harp and organ for a Proms premiere with Squire playing solo cello for the last night of the Proms on 16 October 1897. Cello pieces are with piano accompaniment unless otherwise stated. Opus numbers and composition dates are shown where known and Promenade concert dates where relevant: