This study shows the results of field tests on heat accumulation in asphalt surfaces and concrete curbs on two road underpasses in Osijek, Republic of Croatia. The tests were conducted in 9 daytime periods over several months in 2014. The MLR model (multiple linear regression model) was made using measurements from 36 hourly periods and the model was tested in 9 hourly periods chosen at random from the overall data. The conducted research showed that by using the MLR models it was possible to successfully predict heat accumulation in the asphalt surfaces and concrete curbs of the underpasses using varying air temperature and humidity. Finally, a schematic view is shown of critical points in road underpasses in the event of the possible occurrences of slippery road surfaces, freezing road surfaces, plastic deformation of asphalt surfaces and any possible health hazards for pedestrians in the event of great temperature differences between road surfaces. (C) 2017 Elsevier Ltd. All rights reserved.