I like to shoot from the ground level, usually. Google mostly showed me the monopods with minimum height of some 30 cm.
Are there some monopods which are flexible and at the same time can be actually made to sit on the ground?
Would a GorillaPod work for you? I know you said monopod but when you are getting down to 10cm, it hardly seems to matter if it is 1 leg or 3. This image is from the JOBY site, they make them.
If you want stability at that height, I would suggest a camera bean bag: http://lifehacker.com/5601668/craft-a-diy-camera-bean-bag-for-on+the+go-stability
There are commercial ones available too but a DIY is just as good.
As an added bonus, you can use them to stabilize a shot from, say, inside your car on a halfway lowered window.
It sounds like what you are looking for is something like the GorillaPod and its sister products from Joby. http://joby.com/
They make flexible pods that you can use on ground level as well as having articulated arms so you can wrap the legs around different things like tree limbs.
It would seem simple and cheap enough to make one. (I have not done this, but I have made other camera mounts before).
Buy a length of threaded rod to match your camera, typically 1/4-20. Cut the rod to the desired length (i.e., 10cm), and clean any burrs on the ends. If you don't have tools, some hardware stores may be willing to cut it for you.
Screw the rod into your tripod mount, and call it a monopod!
Depending on how you use it, you might add a washer and a wingnut to more securely attach it to the camera, and add other features as you desire:
You make several at different lengths to make up for a lack of adjustment. I wouldn't make them too long, as the rod will bend more easily, and it could put stress on the camera's threads. I'd expect it to be OK up to about 30cm.
At most US hardware stores, $10 should by a few feet of rod and a handful of washers and nuts.
If you're interested in Bean Bags, take a look at the one listed below. Available in India and works well.