A method for processing, especially pressing, a dental material by using a mold insert, especially a muffle, which comprises a pre-press chamber followed by a mold chamber (14, 16), the pre-press chamber for receiving the dental material being designed in the form of a blank, and a press furnace with a firing chamber for receiving the mold insert, the method comprising the steps of: placing the dental material into the pre-press chamber; heating the firing chamber in which the mold insert is located, to a first temperature; pressing the dental material with a press plunger into the mold space (14, 16) by applying a force to the press plunger in a first process section, wherein the press plunger is moved and the press plunger velocity is detected as a velocity profile dependent of time; and adjusting, especially cooling, the firing chamber to a second temperature, In a second process section, starting from a time at which match of the detected velocity profile with a first velocity profile is established without reducing the force applied to the press plunger, and the method further comprising at least one of the following steps: if, at the end of the second process section, match of the detected velocity profile with a second velocity profile is determined and, at the same time, the press plunger travel distance decreases below a threshold value, then i) in a third process section, application of the force to the press plunger is suspended during a duration of the third process section, and subsequently ii) In a fourth process section, application of the force is reapplied to the press plunger; the fourth process section is terminated, (i) at the end of a period corresponding to a maximum duration of the fourth section of the process; or (ii) If the length of the press plunger stroke exceeds a threshold value; in the third process section, the firing chamber is cooled from the second temperature to a third temperature; in the fourth process section, the firing chamber is maintained at a constant temperature value. placing the dental material into the pre-press chamber; heating the firing chamber in which the mold insert is located, to a first temperature; pressing the dental material with a press plunger into the mold space (14, 16) by applying a force to the press plunger in a first process section, wherein the press plunger is moved and the press plunger velocity is detected as a velocity profile dependent of time; and adjusting, especially cooling, the firing chamber to a second temperature, In a second process section, starting from a time at which match of the detected velocity profile with a first velocity profile is established without reducing the force applied to the press plunger, and the method further comprising at least one of the following steps: if, at the end of the second process section, match of the detected velocity profile with a second velocity profile is determined and, at the same time, the press plunger travel distance decreases below a threshold value, then i) in a third process section, application of the force to the press plunger is suspended during a duration of the third process section, and subsequently ii) In a fourth process section, application of the force is reapplied to the press plunger; the fourth process section is terminated, (i) at the end of a period corresponding to a maximum duration of the fourth section of the process; or (ii) If the length of the press plunger stroke exceeds a threshold value; (i) at the end of a period corresponding to a maximum duration of the fourth section of the process; or (ii) If the length of the press plunger stroke exceeds a threshold value; in the third process section, the firing chamber is cooled from the second temperature to a third temperature; in the fourth process section, the firing chamber is maintained at a constant temperature value.