This is normal puppy play and they should be allowed to play like this on and off throughout the day, BUT not all day, and not when you are trying to teach them.
Remember that the pups are only babies.10 week old puppies have very short attention spans so no more than a few minutes training at a time. Food training is the best way to start such young ones.
The only thing I train together is sitting nicely. EVERYTHING else is trained separately at this age.
You will be amazed how quick they will learn to sit nicely if you give them treats, eg cooked chicken or cheese or sausage pieces,in very small pieces, Call them and Only give it, when they are sitting in front of you. If one sits that one get a treat.
You said one pup is yours the other is for OH. So when play gets to rough both you and OH pick up a pup and hold it firmly but lovingly, pup will struggle at first but will clam down soon enough. DON'T let pup go until he/she has settled down and has laid in your arms a few minutes having a nice cuddle, this way you are teaching pup that you are the boss, that he can only go when you say.
To train pups take them away from each other preferably out of sight. But remember only for a few minutes at a time they are still so young and food is the easiest way.
Most of all enjoy your pups