Can I use two LMD18200 in parallel?
I would generally not recommend trying to parallel two of this type of bridge device in parallel. The reason being that there is no real assurance that the Rds-on of the FETs in corresponding positions of the bridge will have the same impedance. When they are not matched the load current sharing between the two paralleled devices does not balance. 

There may also be some variation of the generated bootstrap voltage between the two parts and this would result in there being a slightly better drive to the upper FETs on one part versus the other. The part with better drive would be better enhanced when ON and could thus assume more current sourcing to the load than the other part. 

A better solution for higher current is to find yourself a suitable H-Bridge controller chip (there are quite a few of them these days) and then build your own H-Bridge with four external FETs selected to provide the current rating that you need. Things to look for in selecting the bridge controller are:


Find one that supports the charge pump bootstrap concept so that you can use N-FETs for both the upper and lower transistors on each side of the H-Bridge.
Select one that has either a fixed or adjustable dead time feature. This will assure that there is a short time when both the upper and lower FET are both OFF and will eliminate "shoot through" current that happens if both an upper FET and a lower FET are on at the same time. 
Look for a part that has ability to detect for over current and provides shutdown override when the current gets too high. A common system used places a very small value resistor in the common source path of the lower FETs to GND. The controller will detect the voltage drop across this resistor. 


If you want to try a hand at design using a part with on-board FETs for the H-Bridge take a look at TI's DRV8432 part. This device has two full H-Bridges on board, each capable of operating at 3A. They can be paralleled to provide for 6A capability.