Epidermal Growth Factor Receptor (EGFR) stands out as a key player in the development of many cancers. Its dysregulation is associated with a vast number of tumors such as non-small-cell lung cancer, colon cancer, head-and-neck cancer, breast and ovarian cancer. Being implicated in the development of a number of the most lethal cancers worldwide, EGFR has long been considered as a focal target for cancer therapies, ever since the FDA approval of "Gefitinib" in 2003 and up to the last FDA approved small molecule EGFR kinase inhibitor "Osimertinib" in 2015. Studies are still going on to find more efficient EGFR inhibitors due to the continuous emergence of resistance to the current inhibitors. Cancerous cells resist EGFR tyrosine kinase inhibitors (TKIs) through various mechanisms, the most commonly reported ones are the T790M mutation and HER2 amplification. Therefore, tackling EGFR TKIs-resistant tumors through a multi-targeting approach comprising a dual EGFR/HER2 inhibitor that is also capable of inhibiting the mutant T790M EGFR is anticipated to overcome drug resistance. In this review, we will survey the structural aspects of EGFR family and the structure-activity relationship of representative dual EGFR/HER2 inhibitors. To follow, we will discuss the structural aspects of the mutation-driven resistance and various design strategies to overcome it. Finally, we will review the SAR of exemplary irreversible dual EGFR/HER2 inhibitors that can overcome the mutation-driven resistance.