Serviced Office Space to Rent in Fulham near Putney Bridge. If you office space to rent in Fulham then these serviced offices may have the perfect solution for you at Riverbank House, 1 Putney Bridge Approach, Fulham, London, SW6 1JD. Riverbank House is located in the heart of west London. The area is exceptionally well-connected; sitting on the intersection of several main travel routes and overlooking the River Thames, 100 metres north of Putney Bridge. The centre is handily located for all the shops, restaurants and bars along Fulham High Street, New King’s Road and Fulham Palace Road.To discuss renting office space in Fulham SW6 and to find out the latest office availability simply complete the form to the right or give us a call.