Yep, the bleed kit I have from EBC has a syringe with adaptor that screws into the lever bleed port, rather than the Shimano cup. It also has a piston bleed block, a hose clamp for when you hammer the anti-crush spigot in, and a few other bits and pieces. And the instructions are basically are:
1) Inject c20ml in via calliper bleed port to raise level in lever syringe and (hopefully) expel the air.
2) Allow fluid to drain from calliper bleed port until lever syringe nearly empty.
3) With lever pulled in, open calliper bleed port in 1/2sec bursts to clear calliper. Pays to have help for this, or do as I did, employ a loop of zip-ties to keep lever pulled back.
4) "Flick" lever (pull in and allow to snap back) to "burp" the reservoir.
Rinse and repeat.
To be fair, allowing only a couple of ml out of the calliper meant the lever would go soft right back to the bars. The difference in mine may well be down to the greater length of hose to the back calliper, which will inevitably introduce a bit of flex.