Since it was founded, the LSQ has toured internationally dozens of times. Highlights include concerts at the Teatro Principal de Valls, in the Cathedral of Pamplona, and in Olite, Navarre. In July 2012 the LSQ conducted a tour of the Balearic islands, with concerts in Valldemossa (Mallorca), and in the inaugural concert of the International Music Festival of Mahon (Menorca). In Liverpool, the LSQ was Quartet in Residence at the Bluecoat Arts Centre in the heart of the city from 2012 to 2015. Notable concerts given in Merseyside have been held at the Williamson Art Gallery on the Wirral, Liverpool’s Anglican Cathedral, the Atkinson Art Gallery (Southport), Mayer Hall (Bebington, Wirral), at the new Music Room at the Liverpool Philharmonic and St George's Hall. During 2014 the LSQ was involved in a project called "Heart Variations for String Quartet" in which the LSQ world- premiered two compositions by Ian Stephens and Meike Holzmann at St George's Hall in Liverpool. In 2015, the quartet gave the World premiere of the full string quartet version of the Snowman, specially arranged for the LSQ by its composer Howard Blake, present at the concerts in Poblet and Manresa (Barcelona) and narrated by famous Catalan actor Jaume Comas. The LSQ recently completed a tour of Spain with renowned Pianist Martin Roscoe performing Franck's Piano Quintet with great success. Since 2016 the LSQ has been ensemble in residence at the Nordic Church, in Liverpool City Centre.