There are stoves that can burn diesel, but be aware that diesel is a comparatively dirty fuel. If you're going to burn diesel in most camp stoves, you're going to need to clean the stove far more frequently than you otherwise would.
I have run my optimus 00 paraffin stove on diesel. It was rather dirty and messy, didn't burn very clean and required frequent use of the cleaning needle. Which is quick and easy on the optimus 00. I wouldn't want to do it inside a tent or shelter - too smelly and messy.
The Norwegian Army (and probably other NATO nations as well) has been running the Optimus 111 on something called F-34 for years and years. F-34 is standard NATO fuel for a multitude of vehicles, aircrafts and stoves. According to Wikipedia, it is a mixture of 97% kerosene (paraffin) and 3% diesel.
I think any stove capable of burning kerosene (paraffin) should be able to burn diesel as well - but it is a messy high maintenance project.