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Let $G_{1} = (V_{1}, E_{1})$ and $G_{2} = (V_{2}, E_{2})$ be graphs of order $n$ and $G_{3} = (V_{1} \\cup V_{2}, E_{3})$ a bipartite graph. A bijection $f$ from $V_{1}$ onto $V_{2}$ is a list packing of the triple $(G_{1}, G_{2}, G_{3})$ if $uv \\in E_{2}$ implies $f(u)f(v) \\notin E_{2}$ and $vf(v) \\notin E_{3}$ for all $v \\in V_{1}$. We extend the classical results of Sauer and Spencer and Bollob\\'{a}s and Eldridge on packing of graphs with small sizes or maximum degrees to the setting of list packing. 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