You need to be careful to differentiate between procedures and available standard phrases.
UK MATS Part 1:
15 Traffic Information
15.1 Traffic information shall include the following:
• Bearing from the aircraft in terms of the 12 hour clock (when the aircraft is turning,direction of the unknown aircraft by compass points);
• Distance from the aircraft in miles;
• Direction in which the unknown aircraft is proceeding, e.g. 'traffic is opposite direction/crossing left to right', etc.
• Height information when available, this may include the unverified mode C of unknown aircraft.
15.2 Under some circumstances, controllers may consider it prudent to inform a pilot of other traffic which is separated from his aircraft. In such cases, to prevent any possible confusion, no reference should be made to the actual level of the other aircraft. If necessary, the pilot should be informed that the other aircraft is '(number) thousand feet above/below'.