We discuss compactifications of higher dimensional supergravities which are induced by scalars. In particular, we consider vector multiplets coupled to the supergravity multiplet in the case of D = 9,8 and D = 7 minimal supergravities. These vector multiplets contain scalars, which parametrize coset spaces of the general form SO(10−D, n)/SO(10−D)×SO(n), where n is the number of vector multiplets. We discuss the compactification of the supergravity theory to D−2 dimensons, which is induced by non-trivial vacuum scalar field configurations. There are singular and non-singular solutions, which preserve half of the supersymmetries.