Andrey and I will meet at the restaurant before we go to the concert. After eating, we will go to the concert hall, which is near the Arts Center Building.
Hence, two parts of speech which will complete the sentence is a pronoun, preposition.
Pronouns refer to the words which replace nouns in a sentence. For example, Alan is a good boy. Alan works hard. Alan is punctual.
Hence, instead of a repetition of noun we use pronouns,
Alan is a good boy. He works hard. He is punctual.
Therefore, in the above sentence 'Andrey and I' is replaced by 'we.'
Prepositions are used to express the relationship between two or more places, persons or time or express a relationship in time or space.
In the above sentence preposition 'near' indicates the location of the concert hall.