Minneapolis weather: Sunday Night Partly cloudy, with a low around 54. Northwest wind 5 to 10 mph becoming light west northwest in the evening. Monday Mostly sunny, with a high near 74. West northwest wind around 5 mph. Monday Night Mostly clear, with a low around 57. Northwest wind around 5 mph becoming southwest after midnight. Tuesday Sunny, with a high near 78. South southwest wind 5 to 10 mph. Tuesday Night A 30 percent chance of showers and thunderstorms. Mostly cloudy, with a low around 62. South wind 5 to 10 mph. Wednesday A 40 percent chance of showers and thunderstorms. Mostly cloudy, with a high near 81. South wind 5 to 10 mph.