A diocesan priest is a Catholic priest who serves in a specific geographical area called a diocese. They are appointed by a bishop to provide spiritual care and leadership to the people in that region. Full definition
Pope Benedict In a question and answer session with 400 diocesan priests in north eastern Italy at the end of his holiday, July 27th 2007. (faith.org.uk)
I don't think THIS Pope will make a change, but I anticipate that one day there will be permission for diocesan priests to be married... like the other Catholic rites. (religion.blogs.cnn.com)
While the majority of Dominican House's students were friars, there were also men and women from other religious orders, diocesan priests studying for their licentiate, and a sprinkling of lay students. (firstthings.com)