In silico molecular docking studies, in vitro toxicity and in silico predictions on the biological activity profile, pharmacokinetic properties, drug-likeness, ADMET (absorption, distribution, metabolism, excretion, and toxicity) physicochemical pharmacokinetic data, and target proteins and toxicity predictions were performed on six copper(II) complexes with the non-steroidal anti-inflammatory drugs ibuprofen, loxoprofen, fenoprofen and clonixin as ligands, in order to investigate the ability of these complexes to interact with the key therapeutic target proteins of SARS-CoV-2 (Severe Acute Respiratory Syndrome Coronavirus 2) 3C-like cysteine main protease (3CLpro/Mpro), viral papain-like protease (PLpro), RNA-dependent RNA polymerase (RdRp), and non-structural proteins (Nsps) Nsp16-Nsp10 2'-O-methyltransferase complex, and their capacity to act as antiviral agents, contributing thus to understanding the role they can play in the context of coronavirus 2019 (COVID-19) pandemic. Cytotoxic activity against five human cancer and normal cell lines were also evaluated.