Garmin 1050

The Garmin 1050 is overall a larger computer than prior generations of Garmin. It also has a slightly offset mounting interface on the back of the computer. This results in the computer sitting much closer to stems and handlebars on K-Edge Mounts. As a result, when using this computer with a stock ENVE computer mount, it likely will fit, but the computer may come in very close to contacting the stem face plate. 

K-Edge now offers a separate insert piece for the 1050 you can purchase separately here from them: https://k-edge.com/products/garmin-edge-1050. This insert is compatible with a variety of K-Edge mounts, including the ENVE mounts specified in the below compatibility chart.

Garmin 1040

The Garmin 1040 and has an elongated back lower edge.  The ENVE Road Stem Combo mount has interference when run in it’s alternative position with the Garmin 1040. Please see below instructions for mounting your ENVE Road Stem Combo Mount to accommodate your Garmin 1040.

The configuration below will work with a 1040...

However, the configuration below will have interference between the tail of the 1040 and the mounting screws...