Motivated by the recently observation of the tetraquark $T_{cc}^{+}$ state, in this work I revisit the Heavy-Meson Effective Theory to perform a simplified field-theoretical study of possible deuteron-like $D^{(⁎)}{D}^{(⁎)},{\overline{B}}^{(⁎)}{\overline{B}}^{(⁎)}$ and $D^{(⁎)}{\overline{B}}^{(⁎)}$ molecules. In particular, using the data from $T_{cc}^{+}$ as input to fix the potential associated to the shallow-bound $D{D}^{⁎}$ system with $I\left(J^P\right)=0\left(1^{+}\right)$, the conditions for the formation of other loosely-bound states in the doubly charmed sector are analyzed. The other sectors are also discussed.