Definition of "conciliar"

The next few years saw increasing tension between those wishing to develop this conciliar mechanism and successive popes seeking to build on the papacy's newly restored integrity.

2009, Diarmaid MacCulloch, A History of Christianity: The First Three Thousand Years‎, New York: Penguin Books, published 2011, page 560

This was the era which witnessed the beginnings of the conciliar movement, which sought to subordinate the papacy to the decisions of Church Councils.

2011, Norman Davies, Vanished Kingdoms: The History of Half-Forgotten Europe‎, London: Allen Lane, page 347