New SARS-CoV-2 variants started in the UK and South Africa in December 2020 and currently spreading worldwide during the last few days. Additionally, another more recent variant sparked in Brazil (B.1.1.248 lineage) this month. The new variant 501.V2 (South African) bears three mutations in the receptor-binding domain (RBD) of the spike glycoprotein, K417N, E484K, and N501Y, while the Brazilian B.1.1.248 lineage have 12 mutations. The N501Y mutation is found in South African and Brazilian variants and is also shared with the UK variant VOC-202012/01 (1). This mutation may affect the host-cell receptor ACE2 (angiotensin-converting enzyme 2) recognition (2). Despite its presence in the ACE2 binding surface, we showed that the N501Y mutant shows a remarkable increase in binding of the ACE2-RBD complex to the host-cell surface Glucose Regulated Protein 78 (CS-GRP78) (3). On the other hand, the E484K is found in the spike RBD's binding motif that we reported earlier to be recognized by cell-surface GRP78 (C480-C488 region of the spike) (4). In this study, we simulate the complex ACE2-SARS-CoV-2 spike RBD system in which the RBD is in the wildtype and mutated (K417N, E484K, and N501Y) isoforms. Additionally, the CS-GRP78 association with the ACE2-SARS-CoV-2 spike RBD complex (ACE2-RBD) is modeled at the presence of these mutant variants of the viral spike.