  We introduce peaceful colourings, a variant of $h$-conflict free colourings.
We call a colouring with no monochromatic edges $p$-peaceful if for each vertex
$v$, there are at most $p$ neighbours of $v$ coloured with a colour appearing
on another neighbour of $v$. An $h$-conflict-free colouring of a graph is a
(vertex)-colouring with no monochromatic edges so that for every vertex $v$,
the number of neighbours of $v$ which are coloured with a colour appearing on
no other neighbour of $v$ is at least the minimum of $h$ and the degree of $v$.
If $G$ is $\Delta$-regular then it has an $h$-conflict free colouring precisely
if it has a $(\Delta-h)$-peaceful colouring. We focus on the minimum $p_\Delta$
of those $p$ for which every graph of maximum degree $\Delta$ has a
$p$-peaceful colouring with $\Delta+1$ colours. We show that $p_\Delta >
(1-\frac{1}{e}-o(1))\Delta$ and that for graphs of bounded codegree, $p_\Delta
\leq (1-\frac{1}{e}+o(1))\Delta$. We ask if the latter result can be improved
by dropping the bound on the codegree. As a partial result, we show that
$p_\Delta \leq \frac{8000}{8001}\Delta$ for sufficiently large $\Delta$.
