The paper develops an efficient approach for accurately determining the pull-in range of a phase-locked loop with a proportional-integrating filter and a continuous piecewise linear phase detector characteristic. This approach makes it possible to derive an analytical formula for determining the pull-in range and obtain explicit conservative estimates and asymptotic values of the pull-in range. Within the framework of the theory of hidden oscillations, this approach provides a complete solution to the problem of determining the boundary of global stability and revealing its hidden parts corresponding to the nonlocal birth of hidden oscillations. © 2025 Saint Petersburg State University. All rights reserved.