  Extending a proposal of Defant and Kravitz [Discrete Mathematics, \textbf{1},
347 (2024)], we define Hitomezashi patterns and loops on a torus and provide
several structural results for such loops. For a given pattern, our main
theorems give optimal residual information regarding the Hitomezashi loop
length, loop count, as well as possible homology classes of such loops. Special
attention is paid to toroidal Hitomezashi patterns that are symmetric with
respect to the diagonal $x = y$, where we establish a novel connection between
Hitomezashi and knot theory.
