Embodiments disclosed herein are directed to microfluidic devices that allow for scalable on-chip screening of combinatorial libraries and methods of use thereof. Droplets comprising individual molecular species to be screened are loaded onto the microfluidic device. The droplets are labeled by methods known in the art, including but not limited to barcoding, such that the molecular species in each droplet can be uniquely identified. The device randomly sorts the droplets into individual microwells of an array of microwells designed to hold a certain number of individual droplets in order to derive combinations of the various molecular species. The paired droplets are then merged in parallel to form merged droplets in each microwell, thereby avoiding issues associated with single stream merging. Each microwell is then scanned, e.g., using microscopy, such as high content imaging microscopy, to detect the optical labels, thereby identifying the combination of molecular species in each microwell.