1. Be genuine and show an interest in getting to know him: To connect with anyone, it’s important to be genuine in your actions. Get to know your best friend’s boyfriend by asking questions about his hobbies, background, and interests. Showing genuine interest in his life will make him appreciate your efforts.

2. Respect their relationship: It’s important not to overstep any boundaries when it comes to your best friend’s relationship. Always remember that your friendship is a priority, and show respect for their relationship by giving them space when necessary.

3. Find common interests: Discovering activities, hobbies, or topics you both enjoy is a great way to further develop a bond with your best friend’s boyfriend. Find out what he likes doing in his free time and explore common areas of interest.

4. Be supportive: Being there for your best friend and her boyfriend during difficult times shows that you genuinely care about them as individuals and as a couple. Offer advice when appropriate and always maintain a positive attitude.

5. Don’t compete for attention: When all three of you are together, avoid competing for attention or constantly trying to pull the spotlight onto yourself. Focus on creating inclusive conversations that encourage everyone to share their thoughts and ideas.

6. Organize group activities: Plan some fun group activities that involve both your best friend and her boyfriend so you can spend more time together without it being too obvious that you’re trying to bond.

7. Practice good listening skills: People are drawn towards those who genuinely listen to them. By being an attentive listener, you’ll show that you’re invested in developing a connection with your best friend’s boyfriend.

8. Avoid gossiping about their relationship: Sharing sensitive information about their relationship can negatively impact your friendship with both parties involved. If you’re uncertain about something, it’s better to talk directly with the concerned individual than spread rumors.

9. Be patient: Building a meaningful connection takes time, and it’s important not to force yourself into their relationship too quickly. Give things time to progress naturally, and your best friend’s boyfriend will be more likely to open up to you.

10. Be yourself: It’s important to stay true to yourself when building a connection with someone new. Don’t try to change who you are just to get your best friend’s boyfriend to like you; he will appreciate your authenticity more than anything else.

11. Show kindness: Lastly, through simple yet thoughtful gestures such as offering help when needed or being polite, you can convey warmth and friendship towards your best friend’s boyfriend.

In summary, by being genuine, respectful, supportive, and inclusive while taking the time to get to know your best friend’s boyfriend better, you can create a stronger bond with him. Respect their relationship while also staying true to yourself, which will ultimately lead them both to appreciate your efforts in getting closer.