ITIL Intermediate certification is the 2nd level of certification in ITIL track. This comes after the foundation level. There are practice areas in ITIL like Service Design, Service transition, Service strategy, service operation and continual service improvement. There are also process areas like RCV, SOA, OSA and PPO. Under Intermediate track, a professional can take as many modules and their certifications.
Someone aspiring for ITIL expert (3rd and pre-final level of certification) should also take ITIL Intermediate MALC (managing across life cycles) exam as well.