Title 1, Chapter 14 of the Texas Code of Criminal Procedure specifies when a peace officer (police officer) may arrest an individual without a warrant.
Art. 14.01 states:
(a) A peace officer or any other person, may, without a warrant, arrest an offender when the offense is committed in his presence or within his view, if the offense is one classed as a felony or as an offense against the public peace.
(b) A peace officer may arrest an offender without a warrant for any offense committed in his presence or within his view.
Art. 14.03 goes even further stating the following:
(a) Any peace officer may arrest, without warrant:
(1) persons found in suspicious places and under circumstances which reasonably show that such persons have been guilty of some felony, violation of Title 9, Chapter 42, Penal Code, breach of the peace, or offense under Section 49.02, Penal Code, or threaten, or are about to commit some offense against the laws;
(2) persons who the peace officer has probable cause to believe have committed an assault resulting in bodily injury to another person and the peace officer has probable cause to believe that there is danger of further bodily injury to that person;
(3) persons who the peace officer has probable cause to believe have committed an offense defined by Section 25.07, Penal Code, if the offense is not committed in the presence of the peace officer;
(4) persons who the peace officer has probable cause to believe have committed an offense involving family violence;
(5) persons who the peace officer has probable cause to believe have prevented or interfered with an individual’s ability to place a telephone call in an emergency, as defined by Section 42.062(d), Penal Code, if the offense is not committed in the presence of the peace officer; or
(6) a person who makes a statement to the peace officer that would be admissible against the person under Article 38.21 and establishes probable cause to believe that the person has committed a felony.
(b) A peace officer shall arrest, without a warrant, a person the peace officer has probable cause to believe has committed an offense under Section 25.07, Penal Code, if the offense is committed in the presence of the peace officer.
(c) If reasonably necessary to verify an allegation of a violation of a protective order or of the commission of an offense involving family violence, a peace officer shall remain at the scene of the investigation to verify the allegation and to prevent the further commission of the violation or of family violence.
(d) A peace officer who is outside his jurisdiction may arrest, without warrant, a person who commits an offense within the officer’s presence or view, if the offense is a felony, a violation of Chapter 42 or 49, Penal Code, or a breach of the peace. A peace officer making an arrest under this subsection shall, as soon as practicable after making the arrest, notify a law enforcement agency having jurisdiction where the arrest was made. The law enforcement agency shall then take custody of the person committing the offense and take the person before a magistrate in compliance with Article 14.06 of this code.