Aminoglycoside-arginine conjugates (AAC and APAC) are multi-target inhibitors of human immunodeficiency virus type-1 (HIV-1). Here, we predict new conjugates of neomycin with two arginine peptide chains binding at specific sites on neomycin [poly-arginine-neomycin-poly-arginine (PA-Neo-PA)]. The rationale for the design of such compounds is to separate two short arginine peptides with neomycin, which may extend the binding region of the CXC chemokine receptor type 4 (CXCR4). We used homology models of CXCR4 and unliganded envelope glycoprotein 120 (HIV-1(IIIB) gp120) and docked PA-Neo-PAs and APACs to these using a multistep docking procedure. The results indicate that PA-Neo-PAs spread over two negatively charged patches of CXCR4. PA-Neo-PA-CXCR4 complexes are energetically more favorable than AACs/APAC-CXCR4 complexes. Notably, our CXCR4 model and docking procedure can be applied to predict new compounds that are either inhibitors of gp120-CXCR4 binding without affecting stromal cell-derived factor 1 alpha (SDF-1 alpha) chemotaxis activity, or inhibitors of SDF-1 alpha-CXCR4 binding resulting in an anti-metastasis effect. We also predict that PA-Neo-PAs and APACs can interfere with CD4-gp120 binding in unliganded conformation.