The pipeline transport system (PTS) is a means of land and marine transport, reliable in the oil sector as well as in various industries, considering its economy and speed to transport a product. The instability of this system, though, currently takes several variables, which directly affect the mechanical integrity (MI) of the same, due to the imminent internal and external formation of the phenomenon classified as corrosion (C). To address this problem, fault tolerance control techniques (FTCS), global positioning systems (GPS), and artificial intelligence (AI), are useful tools to deal with uncertainty and minimize subjectivity, through system modeling. That will allow the identification, control, and timely monitoring of risk factors. During the last 30 years, important contributions on corrosion to pipelines in the oil and gas industry have been published. This document aims to build a systematic literary review (SLR), from an integrative perspective, recognizing various studies in the periods 1987–2018, analyzing 245 documents, from three posts previously not addressed together within the context of corrosion to PTS, offering an apology if any document relevant to the subject was excluded from the work. Findings about the topics of analysis, discussions, and future lines of research are described.