First of all this all depends on how many times your grappling a week
I grapple twice a week
You need to focus on Maintaining or gaining strength, and maintaining or gaining conditioning
See which you need more, are you getting outmuscled or are u just getting beat cardiovascularly? Prioritize your training.
Depending on what you need to prioritize, you would do that more often than the other variable(s)
So for example, if you needed strength + power this is what I'd do
2-3 days/ week full body, 1-2 days of conditioning. 2 strength days to start to get used to the fatigue. No bullshit isolation exercises, all full body stuff.
deads (conventional, snatch grip)
squats (back, front, front with KB's or DB's, Overhead with BB, KB, OR DB's)
snatches (barbell, DB, or KB)
Cleans (BB, DB, or KB)
swings (KB or DB)
Pullups (weighted, bw)
Dips (weighted, bw)
step ups
lunges
pushups and all variations, including 1 arms and all variations of 1 arm
pistols (single leg squats)
rows
THE SPLIT DOES NOT MATTER, THE VOLUME, INTENSITY, AND REST INTERVALS IS MUCH MORE IMPORTANT.
Don't waste time trying to "perfect" your routine, alot of people tend to go overboard with that. The important thing is that your increasing the variables that are prioritzed and maintaining the others
That is alot in of itself. Remember to have a proper warmup, cooldown and stretch, otherwise your gunna be tight and soar for grappling which is not fun.
Next is conditioning
Theres alot of stuff you can work on. General endurance, power endurance, bodyweight circuits, GPP, sprints. this is wear the training gets fun, tough, and interesting all at the same time. Start with SMALL circuits. Here are some examples, read that article.
http://www.strengthcats.com/ZEhard-corecircuittraining.htm
I would start off with some swing conditioning to get used to fatigue. Then build from there. Dont over reach yourself. WHat do I mean by this? Do not go fucking nuts, i mean go fucking nuts, but do not push yourself unneccesarily. Remember you still have to grapple and chances are your gunna have a few days when your weight training AND grappling, keep that in mind.
And make sure your diet is in order, otherwise your going to get injured! Make sure to stay hydrated. 1 gallon of water at least per day. Eat a majority of your diet from complex carbs. You will be burning alot of calories. My diet is 30/50/20. Your metabolism will go thru the roof by eating a ton of calories and burning a ton, you will get much much leaner this way. No more bodybuilding bulk and cut diets, that is unhealthy. Good luck