Context : Tidal debris which are rich in H I gas , formed in interacting and merging systems , are suitable laboratories to study star formation outside galaxies . Recently , several such systems were observed , which contained many young star forming regions outside the galaxies . Aims : In previous works , we have studied young star forming regions outside galaxies in different systems with optical and/or gaseous tidal debris , all of them with available archive GALEX/UV images , in order to understand how often they occur and in which type of environments . In this paper we searched for star forming regions around the galaxy NGC 2865 , a shell galaxy which is circled by a ring of H I , with a total mass of 1.2 \times 10 ^ { 9 } M _ { \odot } . Methods : Using the Multi-Slit Imaging Spectroscopy Technique with the Gemini telescope , we detected all H \alpha emitting sources in the surroundings of the galaxy NGC 2865 , down to a flux limit of 10 ^ { -18 } erg cm ^ { -2 } s ^ { -1 } Å ^ { -1 } . Together with Near and Far-Ultraviolet flux information we characterize the star formation rates , masses , ages , and metallicities for these H II regions . In total , we found 26 emission-line sources in a 60 \times 60 Kpc field centered over the southeastern tail of the H I gas present around the galaxy NGC 2865 . Results : Out of the 26 H \alpha emitters , 19 are in the satellite galaxy FGCE 0745 and seven are intergalactic H II regions scattered over the south tail of the H I gas around NGC 2865 . We found that the intergalactic H II regions are young ( < 200 Myr ) with stellar masses in the range 4 \times 10 ^ { 3 } M _ { \odot } to 17 \times 10 ^ { 6 } M _ { \odot } . These are found in a region of low H I gas density , where the probability of forming stars is expected to be low . For one of the intergalactic H II regions we estimated a solar oxygen abundance of 12 + log ( O/H ) \sim 8.7 . We also were able to estimate the metallicity for the satellite galaxy FGCE 0745 to be 12 + log ( O/H ) \sim 8.0 . Conclusions : Given these physical parameters , the intergalactic H II regions are consistent with young star forming regions ( or clusters ) , born in situ outside the NGC 2865 galaxy from a pre-enriched gas removed from the host galaxies in a merger event . The relevance of these observations is discussed .