Which type of substances have chemical bonds that are not directional and valence electrons that move freely between the atoms?

The answer is metals

Explanation:

Metals, for example mercury (Hg), iron (Fe) and copper (Cu), have metallic bonds. In this kind of bond the electrons are deslocalized. That means that electrons moves from one atom to another, by forming a "sea of electrons". Several properties of metals, such as electrical and thermal conductivity, are explained by this model of chemical bond.

metals as they have free electrons