F.B. Meyer speaks about the profound weariness that often burdens our souls, stemming from our struggles, memories of past failures, and the harsh judgments of others. He emphasizes that while we may feel overwhelmed, God offers rest and refreshment through Christ, who understands our weariness. Meyer encourages believers to find solace in the presence of God, where burdens are lifted and true refreshment is found. He assures that there is always a source of comfort and support, even in the most challenging times, as God provides a refuge for the weary.