Inclusion criteria:

1. Subjects, age > 18 years
2. Subjects receiving a single organ renal transplant from a living donor
3. Positive T-cell and/or B-cell crossmatch by complement dependent cytotoxicity (CDC) and/or positive flow cytometry crossmatch with confirmed donor-specific antibodies on solid-phase assay at screening. Positive CDC T-cell and/or B-cell crossmatch titre must be less than or equal to 1:64.
4. Subjects capable of understanding the purposes and risks of the study and who can give written informed consent

Exclusion Criteria at Study Entry (4 weeks prior to transplant):

1. Primary renal transplant lost from acute rejection less than six months prior to randomisation
2. Women of childbearing potential with a positive serum or urine pregnancy test or nursing mothers
3. Subjects with history of malignancy (other than non melanoma skin cancer that has been totally excised with no recurrence for two years)
4. Subjects with known contraindications to treatment with rituximab
5. Subjects with haemoglobin < 8.5 g/dL, WBC value of < 3000/mm3 or a platelet count of < 50,000/mm3 that is unlikely to resolve prior to randomisation
6. Subjects with a positive ABO crossmatch with donor
7. Subjects with severe diarrhoea or other gastrointestinal disorders that might interfere with the ability to absorb oral medication and is unlikely to resolve prior to randomisation
8. Subjects participating in another interventional clinical trial or requiring treatment with un-marketed investigational drugs or who would be expected to require other medications prohibited by the protocol
9. Subjects who cannot be followed for the study duration
10. Subjects with disorders or conditions that may interfere with the ability to comply with study procedures and/or requirements

Additional Exclusion Criteria at Day -2 before Transplantation:

1. All exclusion criteria as at study entry
2. Positive T- and/or B-cell CDC crossmatch at Day -2