Ionic liquids (ILs) are promising materials for application in a new generation of Li-batteries. They can be used as electrolyte, interlayer, or incorporated into other materials. ILs have ability to form a stable Solid Electrochemical Interface (SEI) which plays an important role, preventing Li-based electrode from oxidation and electrolyte from extensive decomposition. Experimentally, it is hardly possible to elicit fine details of the SEI structure. To remedy this situation, we have performed a comprehensive computational study (DFT-MD) to determine the composition and structure of the SEI compact layer formed between Li anode and [Pyr14][TFSI] IL. We found that the [TFSI] anions quickly reacted with Li and decomposed, unlike the [Pyr14] cations which remained stable. The obtained SEI compact layer structure is non-homogeneous and consists of the atomized S, N, O, F, and C anions oxidized by Li atoms.