Deadheading after the first round of blooms can encourage coneflowers to flower again. To deadhead spent coneflower blooms, look to the leaves just below the flowers, and snip to just above those leaves. We recommend deadheading after the first round of blooms, but leaving the later-blooming flowers into late fall, to dry out as winter enters the scene. Those cones add lots of vertical, textural interest during the cold months, and the winter will stop by to enjoy the seeds. Of course, if you just don't enjoy the look of spent flowers, it won't hurt to deadhead your plants after they bloom in both early and late season.