you dont need syringes to bleed them marco, merely the fluid, and 8mm spanner and a small amount of rubber tubing so as the fluid coming out of the caliper doesn't just squirt all over it...
just add the fluid to the resevoir on the lever to top it up, open the 8mm bolt on the caliper, pull the lever, close the 8mm bolt, release the lever and you'll see it suck fluid down, topup resevoir and repeat until no more air is coming out of the caliper through the rubber tubing. retop up resevoir and you're away!!
another tip you may find useful with shimano deores, is when you push the pistons back and put in non new pads, ie half worn, the lever will have no feel, ie it will go all the way back to the bar without a bite point, this does not mean they need a bleed, and the original feeling of bite point will go back to nrmal when you put new pads in. to counter this, when putting old pads in, dont push the pistons all the way back and it will be fine