A pharmaceutical composition comprising at least two different purified bacteriophages, each comprising a nucleic acid having a nucleotide sequence which has at least 97% sequence identity to SEQ ID NO:1 (F99/10), at least 97% sequence identity to SEQ ID NO:2 (F110/10), at least 97% sequence identity to SEQ ID NO:3 (F27/12), at least 95% sequence identity to SEQ ID NO:4 (F83/13), at least 97% sequence identity to SEQ ID NO:5 (F95/13), at least 90% sequence identity to SEQ ID NO:6 (F391/08), at least 90% sequence identity to SEQ ID NO:7 (F92/15), at least 99% sequence identity to SEQ ID NO:8 (F105/15), at least 98% sequence identity to SEQ ID NO:9 (F134/15), or at least 95% sequence identity to SEQ ID NO:10 (F141/15), or variants thereof and having antibacterial activity against Pseudomonas aeruginosa and/or Klebsiella pneumoniae.