In this paper, we propose a comprehensive linguistic study aimed at assessing the implicit behaviour of one of the most prominent Neural Language Model (NLM) based on Transformer architectures, BERT [15], when dealing with a particular source of noisy data, namely essays written by L1 Italian learners containing a variety of errors targeting grammar, orthography and lexicon. Differently from previous works, we focus on the pre-training stage and we devise two evaluation tasks aimed at assessing the impact of errors on sentence-level inner representations from two complementary perspectives, i.e. robustness and sensitivity. Our experiments show that BERT's ability to compute sentence similarity and to correctly encode a set of raw and morpho-syntactic properties of a sentence are differently modulated by the category of errors and that the error hierarchies in terms of robustness and sensitivity change across layer-wise representations.