Well, I personally feel that having no conflicts is not possible in Samsara. People mistakenly think that the Buddha, Bodhisattvas and Arhats have no conflicts. How wrong to think that. The Buddha had many internal and external conflicts before as a prince, upon enlightenment and after becoming enlightened. The Buddha encountered many conflicts in teaching, encountering nasty students, those who were jealous of him and so forth.
You see, developing peace of mind is not about having no conflicts but about have a mind that can weather through any conflicts without straying away from a virtuous state of mind. Hence, it is really about developing our mind to become stable, compassionate and have a high tolerance to suffer for others. People think it is developing tolerance towards pain that is the key but actually it is about developing compassion. Those with compassion have the highest tolerance for pain and suffering. People who are selfish, self-centered have low or not tolerance for pain and suffering.
In the end, if we shift whatever we do so that others would be benefitted, then, whatever we go through would eventually not be suffering any more. In samsara, we have to suffer one way or another but if the object of our sufferings is somehow shifted towards benefitting others, then it becomes much more meaningful and a whole lot virtuous. This of course takes practice.