Per Wikipedia:
"Low calcium levels in the bloodstream increase the permeability of neuronal membranes to sodium ions, causing a progressive depolarization, which increases the possibility of action potentials. If the plasma Ca2+ decreases to less than 50% of the normal value of 9.4 mg/dl, action potentials may be spontaneously generated, causing contraction of peripheral skeletal muscles.Tetany is also known as hypocalcemia because it is the medical term for tetany [1]"
My assumption is because there is low Ca2+ outside the cell, the Na/Ca antiporter attempts to compensate, thereby allowing Na into the cell.