Evernote for BlackBerry 10 has been integrated into the native BlackBerry Remember app as of now, however it seems like in 10.2 OS we will be seeing a standalone Evernote application. Kris has provided the bar file that can be side loaded onto your BlackBerry 10 device.
Download Evernote standalone app for BlackBerry 10: here. Some reports are saying it only allows you to read existing notes while other features are non-functional, those of you all who are adventurous and do end up testing it out let us know how it works for you.