come into a conflict
get into a conflict

Some of these have the potential for coming into great conflict with each other.

One day two of the more powerful men came into conflict.

Here he came into conflict with yet another American dream.

Clearly, there comes a point when these two must come into conflict.

We never came into conflict with each other; there was no reason to.

It is very common for line and staff workers to come into conflict.

The two soon come into conflict over the design of the house.

Also the young king came into conflict with his guardian.

These must not be allowed to come into conflict with one another.

People with very different ideas of how the world works come into conflict.