The band has failed to topple her 25 from the top of the chart and, as a result, the new release, A Head Full Of Dreams, is Coldplay's first studio album not to debut at number one - even though fans bought 236,000 copies in a week.
Adele notched up another 350,000-plus sales week to stay at number one.
Elvis Presley's former chart-topper, If I Can Dream, slips to three, while Justin Bieber's Purpose and Jess Glynne's I Cry When I Laugh round out the new top five.
Bieber's Love Yourself lands a second week at the top of the singles chart, a week after replacing himself at number one.
The pop star's Sorry remains at two and Sweet Lovin' by Sigala is a high new entry at three.