Reciprocity is required for a foreign lawyer to be entitled to register locally with the Bar Association and be allowed to practice the profession and establish a law firm authorised to provide legal services on domestic, home country and internaitonal law. Foreign lawyers may in individual cases represent and defend before courts and state bodies in the Republika Srpska/the Federation of Bosnia and Herzegovina under the condition of approval by the Ministry of Justice after consultation with the Bar Association.
"Article 3.
Advocacy, among other things, includes:
1) Providing legal advice;
2) Drafting of various submissions (requests, lawsuits, petitions, appeals, etc.);
3) Drafting of various documents (contracts, wills, etc.);
4) Representation of the parties in all civil, administrative and other proceedings before all regular and other courts, other state bodies, arbitrations and legal entities;
5) Defense and representation of the defendant in criminal, misdemeanor and other proceedings in which the responsibility of physical and legal persons is decided; and
6) Provision of other forms of legal assistance to physical and legal persons in order to protect their rights and interests.
Advocacy, as a professional activity, is performed by lawyers as individuals. Lawyers can form a joint law office and law firm for the purpose of joint practice of their profession.
[...]
Article 7.
Each party has the right to freely choose a lawyer who is authorized to practice law in the Federation of Bosnia and Herzegovina (hereinafter: the Federation) in accordance with this law.
A lawyer registered in the Directory of Lawyers in the Federation or the corresponding Directory in the Republic of Srpska has the right to represent and defend all natural and legal persons before courts, administrative bodies and all other organizations in the Federation.
A citizen of another country who, according to the law of that country meets the requirements for the practice of law, has the right to be entered in the Directory of Lawyers, provided that he has reciprocity with the country of which he is a citizen.
In case of doubt about the existence of reciprocity, the binding interpretation is provided by the Federal Ministry of Justice.
The provisions of this law in no case affect the right of a foreign citizen who, according to the laws of his country, meets the requirements for practicing law, to provide legal assistance in the territory of the Federation in connection with the law of his country.
[...]
III – CONDITIONS FOR PERFORMING ADVOCATE ACTIVITIES
Article 18
The right to be entered in the Directory of Lawyers of the Federal Bar Association is granted to a person who, unless otherwise specified by law, meets the following conditions:
1) that he is a citizen of Bosnia and Herzegovina;[...]" (Law on the Legal Profession of the FBiH was passed in 2002 (Official Gazette of the FBiH no 25 of 15. 06. 2002) [google translation])
-------------------------------------
"Article 29
Any attorney registered in the Register of Attorneys in the Republika Srpska or the corresponding register in the Federation of Bosnia and Herzegovina shall be able to represent and defend natural and legal persons before the courts, governmental bodies and organisations in the Republika Srpska.
Citizens of another state, who in accordance with the law of that state fulfil the conditions for the right to practice law, shall be entitled to registration into the Register of Attorneys under condition of the existence of reciprocity with the state whose citizen he/she is.
In the cases of doubtabout the existence of reciprocity, the Ministry of Justice of the Republika Srpska shall provide a binding opinion.
Nothing in this law shall prevent a citizen of a foreign state, who in accordance with the law of that state fulfils the conditions for the right to practice law, from providing legal advice regarding the law of that state.
[...]
Article 31 
No one fulfilling the legal requirements for performing the attorneys' profession may be denied the right of registration in the Register of Attorneys due to his/her national, ethnic,religious, or political background or sex.
Article 32
The right to registration in the Register of Attorneys shall be given to applicants that fulfil the following conditions unless specified otherwise in this law:
To be a citizen of Bosnia-Herzegovina
[...]
Article 35
Attorneys only are authorised to provide legal assistance as specified in Article 3 of this Law, unless provided for in this orother laws. 
An attorney who has a licence for performing the practice of law from an association of attorneys of a foreign state may in individual cases represent and defend before courts and state bodies in the Republika Srpska under the condition of approval by the Ministry of Justice after consultation with the Bar Association.[...]" (Law on Attorneys' Profession of the Republika Srpska ("Official Gazette of RS", no 37/02, 30/07, 59/08) [google translation])

Law on the Legal Profession of the FBiH was passed in 2002 (Official Gazette of the FBiH no 25 of 15. 06. 2002) [google translation]
Law on Attorneys' Profession of the Republika Srpska ("Official Gazette of RS", no 37/02, 30/07, 59/08) [google translation]
[<a href="https://www.advokomfbih.ba/zakon-o-advokaturi-fbih/">Law</a>],[<a href="https://advokat-prnjavorac.com/lawoffice/law_on_attorneys_profession_of_the_republika_srpska.html">Law</a>]