Advances in automated essay grading over the last sixty years enabled its application in real scenarios, such as classrooms and high-stakes testing. The recognition of off-topic essays is one of the tasks addressed in automated essay grading. An essay is regarded as off-topic when the student does not develop the expected prompt-related concepts, sometimes purposely. Off-topic essays may receive a zero score in high-stake tests. An off-topic essay detection mechanism may be used in parallel or embedded in an automated essay grading system to improve its performance. In this context, the main goal of this study is to evaluate the existing approaches for automated off-topic essay detection. A previous systematic review of the literature showed some deficiencies in the state of the art, including: the low accuracy of current approaches, the use of artificial validation sets, and the lack of studies focused on the Portuguese language. In this study, the approaches found in the literature, originally proposed for the English language, were adapted for the Portuguese language and compared in an experiment using a public corpus of 2164 essays related to 111 prompts. The experiment used a set of artificial off-topic examples and the best performing algorithm achieved higher accuracy than that found in the literature for the English language (96.76% vs. 94.75%). The results presented suggest the application of off-topic essay detection mechanisms in the Brazilian educational context in order to benefit the student, with computer generated feedback, and educational institutions, regarding automated essay grading. Some suggestions for future research are presented, including the need to address the task of off-topic essay detection as a multiclass problem, and to reproduce the experiment with a larger and more representative set of real off-topic essay examples.